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Finding the Third Proportional to 360.70 and 527.77

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Solution

The third proportional to 360.70 and 527.77 is: 772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 527.77 = 527.77 : x
  2. Step 2: Convert to fraction form
    360.70/527.77 = 527.77/x
  3. Step 3: Cross multiply
    360.70x = 527.77 × 527.77
  4. Step 4: Simplify right side
    360.70x = 278,536.55
  5. Step 5: Solve for x
    x = 278,536.55/360.70
  6. Step 6: Final answer
    x = 772.20

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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.