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Finding the Third Proportional to 411,261 and 951,998.50

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Solution

The third proportional to 411,261 and 951,998.50 is: 2,203,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,261 : 951,998.50 = 951,998.50 : x
  2. Step 2: Convert to fraction form
    411,261/951,998.50 = 951,998.50/x
  3. Step 3: Cross multiply
    411,261x = 951,998.50 × 951,998.50
  4. Step 4: Simplify right side
    411,261x = 906,301,144,002.25
  5. Step 5: Solve for x
    x = 906,301,144,002.25/411,261
  6. Step 6: Final answer
    x = 2,203,712.83

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