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Finding the Third Proportional to 332,752.50 and 498,966.75

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Solution

The third proportional to 332,752.50 and 498,966.75 is: 748,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,752.50 : 498,966.75 = 498,966.75 : x
  2. Step 2: Convert to fraction form
    332,752.50/498,966.75 = 498,966.75/x
  3. Step 3: Cross multiply
    332,752.50x = 498,966.75 × 498,966.75
  4. Step 4: Simplify right side
    332,752.50x = 248,967,817,605.56
  5. Step 5: Solve for x
    x = 248,967,817,605.56/332,752.50
  6. Step 6: Final answer
    x = 748,207.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.