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Finding the Third Proportional to 466.38 and 545.17

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Solution

The third proportional to 466.38 and 545.17 is: 637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.38 : 545.17 = 545.17 : x
  2. Step 2: Convert to fraction form
    466.38/545.17 = 545.17/x
  3. Step 3: Cross multiply
    466.38x = 545.17 × 545.17
  4. Step 4: Simplify right side
    466.38x = 297,208.11
  5. Step 5: Solve for x
    x = 297,208.11/466.38
  6. Step 6: Final answer
    x = 637.26

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.