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Finding the Third Proportional to 413,239.88 and 626,098.13

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Solution

The third proportional to 413,239.88 and 626,098.13 is: 948,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,239.88 : 626,098.13 = 626,098.13 : x
  2. Step 2: Convert to fraction form
    413,239.88/626,098.13 = 626,098.13/x
  3. Step 3: Cross multiply
    413,239.88x = 626,098.13 × 626,098.13
  4. Step 4: Simplify right side
    413,239.88x = 391,998,862,128.52
  5. Step 5: Solve for x
    x = 391,998,862,128.52/413,239.88
  6. Step 6: Final answer
    x = 948,598.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.