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Finding the Third Proportional to 270,810 and 419,109

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Solution

The third proportional to 270,810 and 419,109 is: 648,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,810 : 419,109 = 419,109 : x
  2. Step 2: Convert to fraction form
    270,810/419,109 = 419,109/x
  3. Step 3: Cross multiply
    270,810x = 419,109 × 419,109
  4. Step 4: Simplify right side
    270,810x = 175,652,353,881
  5. Step 5: Solve for x
    x = 175,652,353,881/270,810
  6. Step 6: Final answer
    x = 648,618.42

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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.