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Finding the Third Proportional to 441,498 and 679,470.75

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Solution

The third proportional to 441,498 and 679,470.75 is: 1,045,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,498 : 679,470.75 = 679,470.75 : x
  2. Step 2: Convert to fraction form
    441,498/679,470.75 = 679,470.75/x
  3. Step 3: Cross multiply
    441,498x = 679,470.75 × 679,470.75
  4. Step 4: Simplify right side
    441,498x = 461,680,500,105.56
  5. Step 5: Solve for x
    x = 461,680,500,105.56/441,498
  6. Step 6: Final answer
    x = 1,045,713.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.