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Finding the Third Proportional to 337,027.50 and 733,569

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Solution

The third proportional to 337,027.50 and 733,569 is: 1,596,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,027.50 : 733,569 = 733,569 : x
  2. Step 2: Convert to fraction form
    337,027.50/733,569 = 733,569/x
  3. Step 3: Cross multiply
    337,027.50x = 733,569 × 733,569
  4. Step 4: Simplify right side
    337,027.50x = 538,123,477,761
  5. Step 5: Solve for x
    x = 538,123,477,761/337,027.50
  6. Step 6: Final answer
    x = 1,596,675.28

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