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Finding the Third Proportional to 419,589 and 650,889

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Solution

The third proportional to 419,589 and 650,889 is: 1,009,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,589 : 650,889 = 650,889 : x
  2. Step 2: Convert to fraction form
    419,589/650,889 = 650,889/x
  3. Step 3: Cross multiply
    419,589x = 650,889 × 650,889
  4. Step 4: Simplify right side
    419,589x = 423,656,490,321
  5. Step 5: Solve for x
    x = 423,656,490,321/419,589
  6. Step 6: Final answer
    x = 1,009,693.99

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Why These Related Problems?

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