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Finding the Third Proportional to 361,036 and 539,474

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Solution

The third proportional to 361,036 and 539,474 is: 806,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,036 : 539,474 = 539,474 : x
  2. Step 2: Convert to fraction form
    361,036/539,474 = 539,474/x
  3. Step 3: Cross multiply
    361,036x = 539,474 × 539,474
  4. Step 4: Simplify right side
    361,036x = 291,032,196,676
  5. Step 5: Solve for x
    x = 291,032,196,676/361,036
  6. Step 6: Final answer
    x = 806,102.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.