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Finding the Third Proportional to 713 and 951.38

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Solution

The third proportional to 713 and 951.38 is: 1,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713 : 951.38 = 951.38 : x
  2. Step 2: Convert to fraction form
    713/951.38 = 951.38/x
  3. Step 3: Cross multiply
    713x = 951.38 × 951.38
  4. Step 4: Simplify right side
    713x = 905,114.39
  5. Step 5: Solve for x
    x = 905,114.39/713
  6. Step 6: Final answer
    x = 1,269.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.