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Finding the Third Proportional to 332,885 and 728,045

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Solution

The third proportional to 332,885 and 728,045 is: 1,592,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,885 : 728,045 = 728,045 : x
  2. Step 2: Convert to fraction form
    332,885/728,045 = 728,045/x
  3. Step 3: Cross multiply
    332,885x = 728,045 × 728,045
  4. Step 4: Simplify right side
    332,885x = 530,049,522,025
  5. Step 5: Solve for x
    x = 530,049,522,025/332,885
  6. Step 6: Final answer
    x = 1,592,290.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.