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Finding the Third Proportional to 462.38 and 1,001.63

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Solution

The third proportional to 462.38 and 1,001.63 is: 2,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 1,001.63 = 1,001.63 : x
  2. Step 2: Convert to fraction form
    462.38/1,001.63 = 1,001.63/x
  3. Step 3: Cross multiply
    462.38x = 1,001.63 × 1,001.63
  4. Step 4: Simplify right side
    462.38x = 1,003,252.64
  5. Step 5: Solve for x
    x = 1,003,252.64/462.38
  6. Step 6: Final answer
    x = 2,169.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.