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Finding the Third Proportional to 744.28 and 811.78

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Solution

The third proportional to 744.28 and 811.78 is: 885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.28 : 811.78 = 811.78 : x
  2. Step 2: Convert to fraction form
    744.28/811.78 = 811.78/x
  3. Step 3: Cross multiply
    744.28x = 811.78 × 811.78
  4. Step 4: Simplify right side
    744.28x = 658,988.80
  5. Step 5: Solve for x
    x = 658,988.80/744.28
  6. Step 6: Final answer
    x = 885.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.