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Finding the Third Proportional to 701.88 and 800.88

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Solution

The third proportional to 701.88 and 800.88 is: 913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.88 : 800.88 = 800.88 : x
  2. Step 2: Convert to fraction form
    701.88/800.88 = 800.88/x
  3. Step 3: Cross multiply
    701.88x = 800.88 × 800.88
  4. Step 4: Simplify right side
    701.88x = 641,400.77
  5. Step 5: Solve for x
    x = 641,400.77/701.88
  6. Step 6: Final answer
    x = 913.84

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.