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Finding the Third Proportional to 360.49 and 527.45

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Solution

The third proportional to 360.49 and 527.45 is: 771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.49 : 527.45 = 527.45 : x
  2. Step 2: Convert to fraction form
    360.49/527.45 = 527.45/x
  3. Step 3: Cross multiply
    360.49x = 527.45 × 527.45
  4. Step 4: Simplify right side
    360.49x = 278,202.68
  5. Step 5: Solve for x
    x = 278,202.68/360.49
  6. Step 6: Final answer
    x = 771.73

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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.