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Finding the Third Proportional to 518.06 and 775.13

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Solution

The third proportional to 518.06 and 775.13 is: 1,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.06 : 775.13 = 775.13 : x
  2. Step 2: Convert to fraction form
    518.06/775.13 = 775.13/x
  3. Step 3: Cross multiply
    518.06x = 775.13 × 775.13
  4. Step 4: Simplify right side
    518.06x = 600,818.77
  5. Step 5: Solve for x
    x = 600,818.77/518.06
  6. Step 6: Final answer
    x = 1,159.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.