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Finding the Third Proportional to 719.09 and 1,540.69

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Solution

The third proportional to 719.09 and 1,540.69 is: 3,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.09 : 1,540.69 = 1,540.69 : x
  2. Step 2: Convert to fraction form
    719.09/1,540.69 = 1,540.69/x
  3. Step 3: Cross multiply
    719.09x = 1,540.69 × 1,540.69
  4. Step 4: Simplify right side
    719.09x = 2,373,717.97
  5. Step 5: Solve for x
    x = 2,373,717.97/719.09
  6. Step 6: Final answer
    x = 3,301.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.