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Finding the Third Proportional to 324,371 and 516,536

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Solution

The third proportional to 324,371 and 516,536 is: 822,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,371 : 516,536 = 516,536 : x
  2. Step 2: Convert to fraction form
    324,371/516,536 = 516,536/x
  3. Step 3: Cross multiply
    324,371x = 516,536 × 516,536
  4. Step 4: Simplify right side
    324,371x = 266,809,439,296
  5. Step 5: Solve for x
    x = 266,809,439,296/324,371
  6. Step 6: Final answer
    x = 822,544.06

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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.