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Finding the Third Proportional to 366,996 and 567,192

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Solution

The third proportional to 366,996 and 567,192 is: 876,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,996 : 567,192 = 567,192 : x
  2. Step 2: Convert to fraction form
    366,996/567,192 = 567,192/x
  3. Step 3: Cross multiply
    366,996x = 567,192 × 567,192
  4. Step 4: Simplify right side
    366,996x = 321,706,764,864
  5. Step 5: Solve for x
    x = 321,706,764,864/366,996
  6. Step 6: Final answer
    x = 876,594.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.