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Finding the Third Proportional to 350,839.13 and 738,354.38

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Solution

The third proportional to 350,839.13 and 738,354.38 is: 1,553,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,839.13 : 738,354.38 = 738,354.38 : x
  2. Step 2: Convert to fraction form
    350,839.13/738,354.38 = 738,354.38/x
  3. Step 3: Cross multiply
    350,839.13x = 738,354.38 × 738,354.38
  4. Step 4: Simplify right side
    350,839.13x = 545,167,183,081.64
  5. Step 5: Solve for x
    x = 545,167,183,081.64/350,839.13
  6. Step 6: Final answer
    x = 1,553,895.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.