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Finding the Third Proportional to 440,786 and 654,698

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Solution

The third proportional to 440,786 and 654,698 is: 972,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,786 : 654,698 = 654,698 : x
  2. Step 2: Convert to fraction form
    440,786/654,698 = 654,698/x
  3. Step 3: Cross multiply
    440,786x = 654,698 × 654,698
  4. Step 4: Simplify right side
    440,786x = 428,629,471,204
  5. Step 5: Solve for x
    x = 428,629,471,204/440,786
  6. Step 6: Final answer
    x = 972,420.79

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