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Finding the Third Proportional to 225,813 and 487,626

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Solution

The third proportional to 225,813 and 487,626 is: 1,052,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,813 : 487,626 = 487,626 : x
  2. Step 2: Convert to fraction form
    225,813/487,626 = 487,626/x
  3. Step 3: Cross multiply
    225,813x = 487,626 × 487,626
  4. Step 4: Simplify right side
    225,813x = 237,779,115,876
  5. Step 5: Solve for x
    x = 237,779,115,876/225,813
  6. Step 6: Final answer
    x = 1,052,991.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.