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Finding the Third Proportional to 332,872 and 728,020

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Solution

The third proportional to 332,872 and 728,020 is: 1,592,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,872 : 728,020 = 728,020 : x
  2. Step 2: Convert to fraction form
    332,872/728,020 = 728,020/x
  3. Step 3: Cross multiply
    332,872x = 728,020 × 728,020
  4. Step 4: Simplify right side
    332,872x = 530,013,120,400
  5. Step 5: Solve for x
    x = 530,013,120,400/332,872
  6. Step 6: Final answer
    x = 1,592,243.03

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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.