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Finding the Third Proportional to 337,023.38 and 733,561.13

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Solution

The third proportional to 337,023.38 and 733,561.13 is: 1,596,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,023.38 : 733,561.13 = 733,561.13 : x
  2. Step 2: Convert to fraction form
    337,023.38/733,561.13 = 733,561.13/x
  3. Step 3: Cross multiply
    337,023.38x = 733,561.13 × 733,561.13
  4. Step 4: Simplify right side
    337,023.38x = 538,111,924,111.27
  5. Step 5: Solve for x
    x = 538,111,924,111.27/337,023.38
  6. Step 6: Final answer
    x = 1,596,660.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.