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Finding the Third Proportional to 434.38 and 951.13

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Solution

The third proportional to 434.38 and 951.13 is: 2,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.38 : 951.13 = 951.13 : x
  2. Step 2: Convert to fraction form
    434.38/951.13 = 951.13/x
  3. Step 3: Cross multiply
    434.38x = 951.13 × 951.13
  4. Step 4: Simplify right side
    434.38x = 904,638.77
  5. Step 5: Solve for x
    x = 904,638.77/434.38
  6. Step 6: Final answer
    x = 2,082.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.