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Finding the Third Proportional to 505.13 and 772.31

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Solution

The third proportional to 505.13 and 772.31 is: 1,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 772.31 = 772.31 : x
  2. Step 2: Convert to fraction form
    505.13/772.31 = 772.31/x
  3. Step 3: Cross multiply
    505.13x = 772.31 × 772.31
  4. Step 4: Simplify right side
    505.13x = 596,466.60
  5. Step 5: Solve for x
    x = 596,466.60/505.13
  6. Step 6: Final answer
    x = 1,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.