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Finding the Third Proportional to 424.38 and 917.13

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Solution

The third proportional to 424.38 and 917.13 is: 1,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.38 : 917.13 = 917.13 : x
  2. Step 2: Convert to fraction form
    424.38/917.13 = 917.13/x
  3. Step 3: Cross multiply
    424.38x = 917.13 × 917.13
  4. Step 4: Simplify right side
    424.38x = 841,118.27
  5. Step 5: Solve for x
    x = 841,118.27/424.38
  6. Step 6: Final answer
    x = 1,982.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.