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Finding the Third Proportional to 332,077.50 and 726,486

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Solution

The third proportional to 332,077.50 and 726,486 is: 1,589,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,077.50 : 726,486 = 726,486 : x
  2. Step 2: Convert to fraction form
    332,077.50/726,486 = 726,486/x
  3. Step 3: Cross multiply
    332,077.50x = 726,486 × 726,486
  4. Step 4: Simplify right side
    332,077.50x = 527,781,908,196
  5. Step 5: Solve for x
    x = 527,781,908,196/332,077.50
  6. Step 6: Final answer
    x = 1,589,333.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.