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Finding the Third Proportional to 457.52 and 1,079.74

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Solution

The third proportional to 457.52 and 1,079.74 is: 2,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.52 : 1,079.74 = 1,079.74 : x
  2. Step 2: Convert to fraction form
    457.52/1,079.74 = 1,079.74/x
  3. Step 3: Cross multiply
    457.52x = 1,079.74 × 1,079.74
  4. Step 4: Simplify right side
    457.52x = 1,165,830.54
  5. Step 5: Solve for x
    x = 1,165,830.54/457.52
  6. Step 6: Final answer
    x = 2,548.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.