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Finding the Third Proportional to 324,396 and 516,570

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Solution

The third proportional to 324,396 and 516,570 is: 822,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,396 : 516,570 = 516,570 : x
  2. Step 2: Convert to fraction form
    324,396/516,570 = 516,570/x
  3. Step 3: Cross multiply
    324,396x = 516,570 × 516,570
  4. Step 4: Simplify right side
    324,396x = 266,844,564,900
  5. Step 5: Solve for x
    x = 266,844,564,900/324,396
  6. Step 6: Final answer
    x = 822,588.95

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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.