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Finding the Third Proportional to 266,416 and 402,448

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Solution

The third proportional to 266,416 and 402,448 is: 607,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,416 : 402,448 = 402,448 : x
  2. Step 2: Convert to fraction form
    266,416/402,448 = 402,448/x
  3. Step 3: Cross multiply
    266,416x = 402,448 × 402,448
  4. Step 4: Simplify right side
    266,416x = 161,964,392,704
  5. Step 5: Solve for x
    x = 161,964,392,704/266,416
  6. Step 6: Final answer
    x = 607,937.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.