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Finding the Third Proportional to 332.02 and 724.68

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Solution

The third proportional to 332.02 and 724.68 is: 1,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.02 : 724.68 = 724.68 : x
  2. Step 2: Convert to fraction form
    332.02/724.68 = 724.68/x
  3. Step 3: Cross multiply
    332.02x = 724.68 × 724.68
  4. Step 4: Simplify right side
    332.02x = 525,154.99
  5. Step 5: Solve for x
    x = 525,154.99/332.02
  6. Step 6: Final answer
    x = 1,581.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.