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Finding the Third Proportional to 723.30 and 1,201.71

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Solution

The third proportional to 723.30 and 1,201.71 is: 1,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 1,201.71 = 1,201.71 : x
  2. Step 2: Convert to fraction form
    723.30/1,201.71 = 1,201.71/x
  3. Step 3: Cross multiply
    723.30x = 1,201.71 × 1,201.71
  4. Step 4: Simplify right side
    723.30x = 1,444,109.18
  5. Step 5: Solve for x
    x = 1,444,109.18/723.30
  6. Step 6: Final answer
    x = 1,996.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.