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Finding the Third Proportional to 711.91 and 1,469.39

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Solution

The third proportional to 711.91 and 1,469.39 is: 3,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.91 : 1,469.39 = 1,469.39 : x
  2. Step 2: Convert to fraction form
    711.91/1,469.39 = 1,469.39/x
  3. Step 3: Cross multiply
    711.91x = 1,469.39 × 1,469.39
  4. Step 4: Simplify right side
    711.91x = 2,159,108.81
  5. Step 5: Solve for x
    x = 2,159,108.81/711.91
  6. Step 6: Final answer
    x = 3,032.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.