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Finding the Third Proportional to 407,875.50 and 959,910.75

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Solution

The third proportional to 407,875.50 and 959,910.75 is: 2,259,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,875.50 : 959,910.75 = 959,910.75 : x
  2. Step 2: Convert to fraction form
    407,875.50/959,910.75 = 959,910.75/x
  3. Step 3: Cross multiply
    407,875.50x = 959,910.75 × 959,910.75
  4. Step 4: Simplify right side
    407,875.50x = 921,428,647,965.56
  5. Step 5: Solve for x
    x = 921,428,647,965.56/407,875.50
  6. Step 6: Final answer
    x = 2,259,092.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.