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Finding the Third Proportional to 332,092 and 465,996

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Solution

The third proportional to 332,092 and 465,996 is: 653,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,092 : 465,996 = 465,996 : x
  2. Step 2: Convert to fraction form
    332,092/465,996 = 465,996/x
  3. Step 3: Cross multiply
    332,092x = 465,996 × 465,996
  4. Step 4: Simplify right side
    332,092x = 217,152,272,016
  5. Step 5: Solve for x
    x = 217,152,272,016/332,092
  6. Step 6: Final answer
    x = 653,891.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.