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Finding the Third Proportional to 269,958 and 419,088

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Solution

The third proportional to 269,958 and 419,088 is: 650,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,958 : 419,088 = 419,088 : x
  2. Step 2: Convert to fraction form
    269,958/419,088 = 419,088/x
  3. Step 3: Cross multiply
    269,958x = 419,088 × 419,088
  4. Step 4: Simplify right side
    269,958x = 175,634,751,744
  5. Step 5: Solve for x
    x = 175,634,751,744/269,958
  6. Step 6: Final answer
    x = 650,600.29

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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.