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Finding the Third Proportional to 322,745 and 682,429

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Solution

The third proportional to 322,745 and 682,429 is: 1,442,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,745 : 682,429 = 682,429 : x
  2. Step 2: Convert to fraction form
    322,745/682,429 = 682,429/x
  3. Step 3: Cross multiply
    322,745x = 682,429 × 682,429
  4. Step 4: Simplify right side
    322,745x = 465,709,340,041
  5. Step 5: Solve for x
    x = 465,709,340,041/322,745
  6. Step 6: Final answer
    x = 1,442,963.76

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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.