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Finding the Third Proportional to 297.84 and 527.91

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Solution

The third proportional to 297.84 and 527.91 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 527.91 = 527.91 : x
  2. Step 2: Convert to fraction form
    297.84/527.91 = 527.91/x
  3. Step 3: Cross multiply
    297.84x = 527.91 × 527.91
  4. Step 4: Simplify right side
    297.84x = 278,685.01
  5. Step 5: Solve for x
    x = 278,685.01/297.84
  6. Step 6: Final answer
    x = 935.68

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.