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Finding the Third Proportional to 441,660 and 685,150

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Solution

The third proportional to 441,660 and 685,150 is: 1,062,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,660 : 685,150 = 685,150 : x
  2. Step 2: Convert to fraction form
    441,660/685,150 = 685,150/x
  3. Step 3: Cross multiply
    441,660x = 685,150 × 685,150
  4. Step 4: Simplify right side
    441,660x = 469,430,522,500
  5. Step 5: Solve for x
    x = 469,430,522,500/441,660
  6. Step 6: Final answer
    x = 1,062,877.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.