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Finding the Third Proportional to 463.22 and 721.41

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Solution

The third proportional to 463.22 and 721.41 is: 1,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 721.41 = 721.41 : x
  2. Step 2: Convert to fraction form
    463.22/721.41 = 721.41/x
  3. Step 3: Cross multiply
    463.22x = 721.41 × 721.41
  4. Step 4: Simplify right side
    463.22x = 520,426.98
  5. Step 5: Solve for x
    x = 520,426.98/463.22
  6. Step 6: Final answer
    x = 1,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.