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Finding the Third Proportional to 324,368 and 516,531

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Solution

The third proportional to 324,368 and 516,531 is: 822,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,368 : 516,531 = 516,531 : x
  2. Step 2: Convert to fraction form
    324,368/516,531 = 516,531/x
  3. Step 3: Cross multiply
    324,368x = 516,531 × 516,531
  4. Step 4: Simplify right side
    324,368x = 266,804,273,961
  5. Step 5: Solve for x
    x = 266,804,273,961/324,368
  6. Step 6: Final answer
    x = 822,535.74

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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.