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Finding the Third Proportional to 322,562 and 512,441

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Solution

The third proportional to 322,562 and 512,441 is: 814,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,562 : 512,441 = 512,441 : x
  2. Step 2: Convert to fraction form
    322,562/512,441 = 512,441/x
  3. Step 3: Cross multiply
    322,562x = 512,441 × 512,441
  4. Step 4: Simplify right side
    322,562x = 262,595,778,481
  5. Step 5: Solve for x
    x = 262,595,778,481/322,562
  6. Step 6: Final answer
    x = 814,093.97

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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.