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Finding the Third Proportional to 782.44 and 1,065.09

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Solution

The third proportional to 782.44 and 1,065.09 is: 1,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.44 : 1,065.09 = 1,065.09 : x
  2. Step 2: Convert to fraction form
    782.44/1,065.09 = 1,065.09/x
  3. Step 3: Cross multiply
    782.44x = 1,065.09 × 1,065.09
  4. Step 4: Simplify right side
    782.44x = 1,134,424.70
  5. Step 5: Solve for x
    x = 1,134,424.70/782.44
  6. Step 6: Final answer
    x = 1,449.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.