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Finding the Third Proportional to 324,412 and 516,596

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Solution

The third proportional to 324,412 and 516,596 is: 822,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,412 : 516,596 = 516,596 : x
  2. Step 2: Convert to fraction form
    324,412/516,596 = 516,596/x
  3. Step 3: Cross multiply
    324,412x = 516,596 × 516,596
  4. Step 4: Simplify right side
    324,412x = 266,871,427,216
  5. Step 5: Solve for x
    x = 266,871,427,216/324,412
  6. Step 6: Final answer
    x = 822,631.18

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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.