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Finding the Third Proportional to 324,366 and 516,529

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Solution

The third proportional to 324,366 and 516,529 is: 822,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,366 : 516,529 = 516,529 : x
  2. Step 2: Convert to fraction form
    324,366/516,529 = 516,529/x
  3. Step 3: Cross multiply
    324,366x = 516,529 × 516,529
  4. Step 4: Simplify right side
    324,366x = 266,802,207,841
  5. Step 5: Solve for x
    x = 266,802,207,841/324,366
  6. Step 6: Final answer
    x = 822,534.45

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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.