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Finding the Third Proportional to 766.13 and 1,074.94

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Solution

The third proportional to 766.13 and 1,074.94 is: 1,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 1,074.94 = 1,074.94 : x
  2. Step 2: Convert to fraction form
    766.13/1,074.94 = 1,074.94/x
  3. Step 3: Cross multiply
    766.13x = 1,074.94 × 1,074.94
  4. Step 4: Simplify right side
    766.13x = 1,155,490.63
  5. Step 5: Solve for x
    x = 1,155,490.63/766.13
  6. Step 6: Final answer
    x = 1,508.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.