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Finding the Third Proportional to 668.50 and 952.13

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Solution

The third proportional to 668.50 and 952.13 is: 1,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.50 : 952.13 = 952.13 : x
  2. Step 2: Convert to fraction form
    668.50/952.13 = 952.13/x
  3. Step 3: Cross multiply
    668.50x = 952.13 × 952.13
  4. Step 4: Simplify right side
    668.50x = 906,542.02
  5. Step 5: Solve for x
    x = 906,542.02/668.50
  6. Step 6: Final answer
    x = 1,356.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.