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Finding the Third Proportional to 752.91 and 1,034.86

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Solution

The third proportional to 752.91 and 1,034.86 is: 1,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.91 : 1,034.86 = 1,034.86 : x
  2. Step 2: Convert to fraction form
    752.91/1,034.86 = 1,034.86/x
  3. Step 3: Cross multiply
    752.91x = 1,034.86 × 1,034.86
  4. Step 4: Simplify right side
    752.91x = 1,070,933.93
  5. Step 5: Solve for x
    x = 1,070,933.93/752.91
  6. Step 6: Final answer
    x = 1,422.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.