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Finding the Third Proportional to 441,161 and 659,979

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Solution

The third proportional to 441,161 and 659,979 is: 987,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,161 : 659,979 = 659,979 : x
  2. Step 2: Convert to fraction form
    441,161/659,979 = 659,979/x
  3. Step 3: Cross multiply
    441,161x = 659,979 × 659,979
  4. Step 4: Simplify right side
    441,161x = 435,572,280,441
  5. Step 5: Solve for x
    x = 435,572,280,441/441,161
  6. Step 6: Final answer
    x = 987,331.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.