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Finding the Third Proportional to 322.73 and 484.10

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Solution

The third proportional to 322.73 and 484.10 is: 726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.73 : 484.10 = 484.10 : x
  2. Step 2: Convert to fraction form
    322.73/484.10 = 484.10/x
  3. Step 3: Cross multiply
    322.73x = 484.10 × 484.10
  4. Step 4: Simplify right side
    322.73x = 234,354.32
  5. Step 5: Solve for x
    x = 234,354.32/322.73
  6. Step 6: Final answer
    x = 726.15

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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.