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Finding the Third Proportional to 324,398 and 516,573

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Solution

The third proportional to 324,398 and 516,573 is: 822,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,398 : 516,573 = 516,573 : x
  2. Step 2: Convert to fraction form
    324,398/516,573 = 516,573/x
  3. Step 3: Cross multiply
    324,398x = 516,573 × 516,573
  4. Step 4: Simplify right side
    324,398x = 266,847,664,329
  5. Step 5: Solve for x
    x = 266,847,664,329/324,398
  6. Step 6: Final answer
    x = 822,593.43

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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.