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Finding the Third Proportional to 332,920 and 728,124

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Solution

The third proportional to 332,920 and 728,124 is: 1,592,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,920 : 728,124 = 728,124 : x
  2. Step 2: Convert to fraction form
    332,920/728,124 = 728,124/x
  3. Step 3: Cross multiply
    332,920x = 728,124 × 728,124
  4. Step 4: Simplify right side
    332,920x = 530,164,559,376
  5. Step 5: Solve for x
    x = 530,164,559,376/332,920
  6. Step 6: Final answer
    x = 1,592,468.34

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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.