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Finding the Third Proportional to 723.66 and 1,562.06

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Solution

The third proportional to 723.66 and 1,562.06 is: 3,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 1,562.06 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    723.66/1,562.06 = 1,562.06/x
  3. Step 3: Cross multiply
    723.66x = 1,562.06 × 1,562.06
  4. Step 4: Simplify right side
    723.66x = 2,440,039.25
  5. Step 5: Solve for x
    x = 2,440,039.25/723.66
  6. Step 6: Final answer
    x = 3,371.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.