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Finding the Third Proportional to 360.88 and 527.81

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Solution

The third proportional to 360.88 and 527.81 is: 771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.88 : 527.81 = 527.81 : x
  2. Step 2: Convert to fraction form
    360.88/527.81 = 527.81/x
  3. Step 3: Cross multiply
    360.88x = 527.81 × 527.81
  4. Step 4: Simplify right side
    360.88x = 278,586.04
  5. Step 5: Solve for x
    x = 278,586.04/360.88
  6. Step 6: Final answer
    x = 771.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.