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Finding the Third Proportional to 706.92 and 1,432.83

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Solution

The third proportional to 706.92 and 1,432.83 is: 2,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,432.83 = 1,432.83 : x
  2. Step 2: Convert to fraction form
    706.92/1,432.83 = 1,432.83/x
  3. Step 3: Cross multiply
    706.92x = 1,432.83 × 1,432.83
  4. Step 4: Simplify right side
    706.92x = 2,052,996.44
  5. Step 5: Solve for x
    x = 2,052,996.44/706.92
  6. Step 6: Final answer
    x = 2,904.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.