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Finding the Third Proportional to 453.84 and 527.86

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Solution

The third proportional to 453.84 and 527.86 is: 613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 527.86 = 527.86 : x
  2. Step 2: Convert to fraction form
    453.84/527.86 = 527.86/x
  3. Step 3: Cross multiply
    453.84x = 527.86 × 527.86
  4. Step 4: Simplify right side
    453.84x = 278,635.52
  5. Step 5: Solve for x
    x = 278,635.52/453.84
  6. Step 6: Final answer
    x = 613.95

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.