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Finding the Third Proportional to 617.81 and 1,446.38

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Solution

The third proportional to 617.81 and 1,446.38 is: 3,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.81 : 1,446.38 = 1,446.38 : x
  2. Step 2: Convert to fraction form
    617.81/1,446.38 = 1,446.38/x
  3. Step 3: Cross multiply
    617.81x = 1,446.38 × 1,446.38
  4. Step 4: Simplify right side
    617.81x = 2,092,000.64
  5. Step 5: Solve for x
    x = 2,092,000.64/617.81
  6. Step 6: Final answer
    x = 3,386.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.