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Finding the Third Proportional to 266,024.25 and 391,260.38

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Solution

The third proportional to 266,024.25 and 391,260.38 is: 575,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,024.25 : 391,260.38 = 391,260.38 : x
  2. Step 2: Convert to fraction form
    266,024.25/391,260.38 = 391,260.38/x
  3. Step 3: Cross multiply
    266,024.25x = 391,260.38 × 391,260.38
  4. Step 4: Simplify right side
    266,024.25x = 153,084,681,045.14
  5. Step 5: Solve for x
    x = 153,084,681,045.14/266,024.25
  6. Step 6: Final answer
    x = 575,453.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.