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Finding the Third Proportional to 648.73 and 951.47

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Solution

The third proportional to 648.73 and 951.47 is: 1,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.73 : 951.47 = 951.47 : x
  2. Step 2: Convert to fraction form
    648.73/951.47 = 951.47/x
  3. Step 3: Cross multiply
    648.73x = 951.47 × 951.47
  4. Step 4: Simplify right side
    648.73x = 905,301.14
  5. Step 5: Solve for x
    x = 905,301.14/648.73
  6. Step 6: Final answer
    x = 1,395.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.