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Finding the Third Proportional to 337,027 and 733,569

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Solution

The third proportional to 337,027 and 733,569 is: 1,596,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,027 : 733,569 = 733,569 : x
  2. Step 2: Convert to fraction form
    337,027/733,569 = 733,569/x
  3. Step 3: Cross multiply
    337,027x = 733,569 × 733,569
  4. Step 4: Simplify right side
    337,027x = 538,123,477,761
  5. Step 5: Solve for x
    x = 538,123,477,761/337,027
  6. Step 6: Final answer
    x = 1,596,677.65

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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.