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Finding the Third Proportional to 706.50 and 1,188.84

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Solution

The third proportional to 706.50 and 1,188.84 is: 2,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 1,188.84 = 1,188.84 : x
  2. Step 2: Convert to fraction form
    706.50/1,188.84 = 1,188.84/x
  3. Step 3: Cross multiply
    706.50x = 1,188.84 × 1,188.84
  4. Step 4: Simplify right side
    706.50x = 1,413,349.46
  5. Step 5: Solve for x
    x = 1,413,349.46/706.50
  6. Step 6: Final answer
    x = 2,000.49

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.