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Finding the Third Proportional to 706.13 and 1,529.88

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Solution

The third proportional to 706.13 and 1,529.88 is: 3,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 1,529.88 = 1,529.88 : x
  2. Step 2: Convert to fraction form
    706.13/1,529.88 = 1,529.88/x
  3. Step 3: Cross multiply
    706.13x = 1,529.88 × 1,529.88
  4. Step 4: Simplify right side
    706.13x = 2,340,517.52
  5. Step 5: Solve for x
    x = 2,340,517.52/706.13
  6. Step 6: Final answer
    x = 3,314.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.