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Finding the Third Proportional to 322,747 and 682,433

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Solution

The third proportional to 322,747 and 682,433 is: 1,442,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,747 : 682,433 = 682,433 : x
  2. Step 2: Convert to fraction form
    322,747/682,433 = 682,433/x
  3. Step 3: Cross multiply
    322,747x = 682,433 × 682,433
  4. Step 4: Simplify right side
    322,747x = 465,714,799,489
  5. Step 5: Solve for x
    x = 465,714,799,489/322,747
  6. Step 6: Final answer
    x = 1,442,971.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.