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Finding the Third Proportional to 706.88 and 943.69

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Solution

The third proportional to 706.88 and 943.69 is: 1,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 943.69 = 943.69 : x
  2. Step 2: Convert to fraction form
    706.88/943.69 = 943.69/x
  3. Step 3: Cross multiply
    706.88x = 943.69 × 943.69
  4. Step 4: Simplify right side
    706.88x = 890,546.10
  5. Step 5: Solve for x
    x = 890,546.10/706.88
  6. Step 6: Final answer
    x = 1,259.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.