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Finding the Third Proportional to 400,830 and 639,150

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Solution

The third proportional to 400,830 and 639,150 is: 1,019,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,830 : 639,150 = 639,150 : x
  2. Step 2: Convert to fraction form
    400,830/639,150 = 639,150/x
  3. Step 3: Cross multiply
    400,830x = 639,150 × 639,150
  4. Step 4: Simplify right side
    400,830x = 408,512,722,500
  5. Step 5: Solve for x
    x = 408,512,722,500/400,830
  6. Step 6: Final answer
    x = 1,019,167.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.