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Finding the Third Proportional to 286,309,744.88 and 437,784,785.44

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Solution

The third proportional to 286,309,744.88 and 437,784,785.44 is: 669,399,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,309,744.88 : 437,784,785.44 = 437,784,785.44 : x
  2. Step 2: Convert to fraction form
    286,309,744.88/437,784,785.44 = 437,784,785.44/x
  3. Step 3: Cross multiply
    286,309,744.88x = 437,784,785.44 × 437,784,785.44
  4. Step 4: Simplify right side
    286,309,744.88x = 191,655,518,360,557,920
  5. Step 5: Solve for x
    x = 191,655,518,360,557,920/286,309,744.88
  6. Step 6: Final answer
    x = 669,399,214.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.