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Finding the Third Proportional to 284,785.50 and 606,381

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Solution

The third proportional to 284,785.50 and 606,381 is: 1,291,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,785.50 : 606,381 = 606,381 : x
  2. Step 2: Convert to fraction form
    284,785.50/606,381 = 606,381/x
  3. Step 3: Cross multiply
    284,785.50x = 606,381 × 606,381
  4. Step 4: Simplify right side
    284,785.50x = 367,697,917,161
  5. Step 5: Solve for x
    x = 367,697,917,161/284,785.50
  6. Step 6: Final answer
    x = 1,291,139.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.