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Finding the Third Proportional to 388.97 and 760.92

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Solution

The third proportional to 388.97 and 760.92 is: 1,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 760.92 = 760.92 : x
  2. Step 2: Convert to fraction form
    388.97/760.92 = 760.92/x
  3. Step 3: Cross multiply
    388.97x = 760.92 × 760.92
  4. Step 4: Simplify right side
    388.97x = 579,002.10
  5. Step 5: Solve for x
    x = 579,002.10/388.97
  6. Step 6: Final answer
    x = 1,488.56

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.