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Finding the Third Proportional to 408,675 and 560,999

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Solution

The third proportional to 408,675 and 560,999 is: 770,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,675 : 560,999 = 560,999 : x
  2. Step 2: Convert to fraction form
    408,675/560,999 = 560,999/x
  3. Step 3: Cross multiply
    408,675x = 560,999 × 560,999
  4. Step 4: Simplify right side
    408,675x = 314,719,878,001
  5. Step 5: Solve for x
    x = 314,719,878,001/408,675
  6. Step 6: Final answer
    x = 770,098.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.