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Finding the Third Proportional to 324,384 and 516,552

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Solution

The third proportional to 324,384 and 516,552 is: 822,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,384 : 516,552 = 516,552 : x
  2. Step 2: Convert to fraction form
    324,384/516,552 = 516,552/x
  3. Step 3: Cross multiply
    324,384x = 516,552 × 516,552
  4. Step 4: Simplify right side
    324,384x = 266,825,968,704
  5. Step 5: Solve for x
    x = 266,825,968,704/324,384
  6. Step 6: Final answer
    x = 822,562.05

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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.