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Finding the Third Proportional to 332,092 and 720,632

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Solution

The third proportional to 332,092 and 720,632 is: 1,563,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,092 : 720,632 = 720,632 : x
  2. Step 2: Convert to fraction form
    332,092/720,632 = 720,632/x
  3. Step 3: Cross multiply
    332,092x = 720,632 × 720,632
  4. Step 4: Simplify right side
    332,092x = 519,310,479,424
  5. Step 5: Solve for x
    x = 519,310,479,424/332,092
  6. Step 6: Final answer
    x = 1,563,754.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.