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Finding the Third Proportional to 286,309,745 and 437,784,785.75

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Solution

The third proportional to 286,309,745 and 437,784,785.75 is: 669,399,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,309,745 : 437,784,785.75 = 437,784,785.75 : x
  2. Step 2: Convert to fraction form
    286,309,745/437,784,785.75 = 437,784,785.75/x
  3. Step 3: Cross multiply
    286,309,745x = 437,784,785.75 × 437,784,785.75
  4. Step 4: Simplify right side
    286,309,745x = 191,655,518,634,173,408
  5. Step 5: Solve for x
    x = 191,655,518,634,173,408/286,309,745
  6. Step 6: Final answer
    x = 669,399,215.29

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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.