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Finding the Third Proportional to 523,192 and 809,952

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Solution

The third proportional to 523,192 and 809,952 is: 1,253,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,192 : 809,952 = 809,952 : x
  2. Step 2: Convert to fraction form
    523,192/809,952 = 809,952/x
  3. Step 3: Cross multiply
    523,192x = 809,952 × 809,952
  4. Step 4: Simplify right side
    523,192x = 656,022,242,304
  5. Step 5: Solve for x
    x = 656,022,242,304/523,192
  6. Step 6: Final answer
    x = 1,253,884.31

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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.