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Finding the Third Proportional to 266,402.13 and 406,252.38

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Solution

The third proportional to 266,402.13 and 406,252.38 is: 619,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,402.13 : 406,252.38 = 406,252.38 : x
  2. Step 2: Convert to fraction form
    266,402.13/406,252.38 = 406,252.38/x
  3. Step 3: Cross multiply
    266,402.13x = 406,252.38 × 406,252.38
  4. Step 4: Simplify right side
    266,402.13x = 165,040,992,193.14
  5. Step 5: Solve for x
    x = 165,040,992,193.14/266,402.13
  6. Step 6: Final answer
    x = 619,518.30

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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.