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Finding the Third Proportional to 337,950 and 728,280

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Solution

The third proportional to 337,950 and 728,280 is: 1,569,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,950 : 728,280 = 728,280 : x
  2. Step 2: Convert to fraction form
    337,950/728,280 = 728,280/x
  3. Step 3: Cross multiply
    337,950x = 728,280 × 728,280
  4. Step 4: Simplify right side
    337,950x = 530,391,758,400
  5. Step 5: Solve for x
    x = 530,391,758,400/337,950
  6. Step 6: Final answer
    x = 1,569,438.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.