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Finding the Third Proportional to 322,785 and 658,692

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Solution

The third proportional to 322,785 and 658,692 is: 1,344,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,785 : 658,692 = 658,692 : x
  2. Step 2: Convert to fraction form
    322,785/658,692 = 658,692/x
  3. Step 3: Cross multiply
    322,785x = 658,692 × 658,692
  4. Step 4: Simplify right side
    322,785x = 433,875,150,864
  5. Step 5: Solve for x
    x = 433,875,150,864/322,785
  6. Step 6: Final answer
    x = 1,344,161.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.