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Finding the Third Proportional to 322.73 and 473.66

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Solution

The third proportional to 322.73 and 473.66 is: 695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.73 : 473.66 = 473.66 : x
  2. Step 2: Convert to fraction form
    322.73/473.66 = 473.66/x
  3. Step 3: Cross multiply
    322.73x = 473.66 × 473.66
  4. Step 4: Simplify right side
    322.73x = 224,353.94
  5. Step 5: Solve for x
    x = 224,353.94/322.73
  6. Step 6: Final answer
    x = 695.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.