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Finding the Third Proportional to 324,364 and 516,526

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Solution

The third proportional to 324,364 and 516,526 is: 822,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,364 : 516,526 = 516,526 : x
  2. Step 2: Convert to fraction form
    324,364/516,526 = 516,526/x
  3. Step 3: Cross multiply
    324,364x = 516,526 × 516,526
  4. Step 4: Simplify right side
    324,364x = 266,799,108,676
  5. Step 5: Solve for x
    x = 266,799,108,676/324,364
  6. Step 6: Final answer
    x = 822,529.96

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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.