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Finding the Third Proportional to 706.50 and 943.88

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Solution

The third proportional to 706.50 and 943.88 is: 1,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 943.88 = 943.88 : x
  2. Step 2: Convert to fraction form
    706.50/943.88 = 943.88/x
  3. Step 3: Cross multiply
    706.50x = 943.88 × 943.88
  4. Step 4: Simplify right side
    706.50x = 890,900.02
  5. Step 5: Solve for x
    x = 890,900.02/706.50
  6. Step 6: Final answer
    x = 1,261.00

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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.