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Finding the Third Proportional to 332,542.97 and 515,894.06

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Solution

The third proportional to 332,542.97 and 515,894.06 is: 800,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,542.97 : 515,894.06 = 515,894.06 : x
  2. Step 2: Convert to fraction form
    332,542.97/515,894.06 = 515,894.06/x
  3. Step 3: Cross multiply
    332,542.97x = 515,894.06 × 515,894.06
  4. Step 4: Simplify right side
    332,542.97x = 266,146,683,722.75
  5. Step 5: Solve for x
    x = 266,146,683,722.75/332,542.97
  6. Step 6: Final answer
    x = 800,337.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.