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Finding the Third Proportional to 713.88 and 940.88

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Solution

The third proportional to 713.88 and 940.88 is: 1,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 940.88 = 940.88 : x
  2. Step 2: Convert to fraction form
    713.88/940.88 = 940.88/x
  3. Step 3: Cross multiply
    713.88x = 940.88 × 940.88
  4. Step 4: Simplify right side
    713.88x = 885,245.77
  5. Step 5: Solve for x
    x = 885,245.77/713.88
  6. Step 6: Final answer
    x = 1,240.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.