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Finding the Third Proportional to 701.06 and 912.76

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Solution

The third proportional to 701.06 and 912.76 is: 1,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.06 : 912.76 = 912.76 : x
  2. Step 2: Convert to fraction form
    701.06/912.76 = 912.76/x
  3. Step 3: Cross multiply
    701.06x = 912.76 × 912.76
  4. Step 4: Simplify right side
    701.06x = 833,135.96
  5. Step 5: Solve for x
    x = 833,135.96/701.06
  6. Step 6: Final answer
    x = 1,188.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.