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Finding the Third Proportional to 411,230.25 and 951,939

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Solution

The third proportional to 411,230.25 and 951,939 is: 2,203,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,230.25 : 951,939 = 951,939 : x
  2. Step 2: Convert to fraction form
    411,230.25/951,939 = 951,939/x
  3. Step 3: Cross multiply
    411,230.25x = 951,939 × 951,939
  4. Step 4: Simplify right side
    411,230.25x = 906,187,859,721
  5. Step 5: Solve for x
    x = 906,187,859,721/411,230.25
  6. Step 6: Final answer
    x = 2,203,602.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.