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Finding the Third Proportional to 440,917 and 659,659

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Solution

The third proportional to 440,917 and 659,659 is: 986,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,917 : 659,659 = 659,659 : x
  2. Step 2: Convert to fraction form
    440,917/659,659 = 659,659/x
  3. Step 3: Cross multiply
    440,917x = 659,659 × 659,659
  4. Step 4: Simplify right side
    440,917x = 435,149,996,281
  5. Step 5: Solve for x
    x = 435,149,996,281/440,917
  6. Step 6: Final answer
    x = 986,920.43

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