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Finding the Third Proportional to 719.93 and 1,201.92

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Solution

The third proportional to 719.93 and 1,201.92 is: 2,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.93 : 1,201.92 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    719.93/1,201.92 = 1,201.92/x
  3. Step 3: Cross multiply
    719.93x = 1,201.92 × 1,201.92
  4. Step 4: Simplify right side
    719.93x = 1,444,616.19
  5. Step 5: Solve for x
    x = 1,444,616.19/719.93
  6. Step 6: Final answer
    x = 2,006.61

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.