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Finding the Third Proportional to 419,591 and 650,892

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Solution

The third proportional to 419,591 and 650,892 is: 1,009,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,591 : 650,892 = 650,892 : x
  2. Step 2: Convert to fraction form
    419,591/650,892 = 650,892/x
  3. Step 3: Cross multiply
    419,591x = 650,892 × 650,892
  4. Step 4: Simplify right side
    419,591x = 423,660,395,664
  5. Step 5: Solve for x
    x = 423,660,395,664/419,591
  6. Step 6: Final answer
    x = 1,009,698.48

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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.