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Finding the Third Proportional to 772.17 and 1,154.46

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Solution

The third proportional to 772.17 and 1,154.46 is: 1,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.17 : 1,154.46 = 1,154.46 : x
  2. Step 2: Convert to fraction form
    772.17/1,154.46 = 1,154.46/x
  3. Step 3: Cross multiply
    772.17x = 1,154.46 × 1,154.46
  4. Step 4: Simplify right side
    772.17x = 1,332,780.06
  5. Step 5: Solve for x
    x = 1,332,780.06/772.17
  6. Step 6: Final answer
    x = 1,726.01

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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.