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Finding the Third Proportional to 723.56 and 1,566.75

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Solution

The third proportional to 723.56 and 1,566.75 is: 3,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.56 : 1,566.75 = 1,566.75 : x
  2. Step 2: Convert to fraction form
    723.56/1,566.75 = 1,566.75/x
  3. Step 3: Cross multiply
    723.56x = 1,566.75 × 1,566.75
  4. Step 4: Simplify right side
    723.56x = 2,454,705.56
  5. Step 5: Solve for x
    x = 2,454,705.56/723.56
  6. Step 6: Final answer
    x = 3,392.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.