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Finding the Third Proportional to 723.30 and 1,084.96

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Solution

The third proportional to 723.30 and 1,084.96 is: 1,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 1,084.96 = 1,084.96 : x
  2. Step 2: Convert to fraction form
    723.30/1,084.96 = 1,084.96/x
  3. Step 3: Cross multiply
    723.30x = 1,084.96 × 1,084.96
  4. Step 4: Simplify right side
    723.30x = 1,177,131.76
  5. Step 5: Solve for x
    x = 1,177,131.76/723.30
  6. Step 6: Final answer
    x = 1,627.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.