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Finding the Third Proportional to 701.16 and 1,469.39

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Solution

The third proportional to 701.16 and 1,469.39 is: 3,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 1,469.39 = 1,469.39 : x
  2. Step 2: Convert to fraction form
    701.16/1,469.39 = 1,469.39/x
  3. Step 3: Cross multiply
    701.16x = 1,469.39 × 1,469.39
  4. Step 4: Simplify right side
    701.16x = 2,159,108.81
  5. Step 5: Solve for x
    x = 2,159,108.81/701.16
  6. Step 6: Final answer
    x = 3,079.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.