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Finding the Third Proportional to 322,541 and 512,414

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Solution

The third proportional to 322,541 and 512,414 is: 814,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,541 : 512,414 = 512,414 : x
  2. Step 2: Convert to fraction form
    322,541/512,414 = 512,414/x
  3. Step 3: Cross multiply
    322,541x = 512,414 × 512,414
  4. Step 4: Simplify right side
    322,541x = 262,568,107,396
  5. Step 5: Solve for x
    x = 262,568,107,396/322,541
  6. Step 6: Final answer
    x = 814,061.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.