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Finding the Third Proportional to 324,368 and 516,533

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Solution

The third proportional to 324,368 and 516,533 is: 822,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,368 : 516,533 = 516,533 : x
  2. Step 2: Convert to fraction form
    324,368/516,533 = 516,533/x
  3. Step 3: Cross multiply
    324,368x = 516,533 × 516,533
  4. Step 4: Simplify right side
    324,368x = 266,806,340,089
  5. Step 5: Solve for x
    x = 266,806,340,089/324,368
  6. Step 6: Final answer
    x = 822,542.11

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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.