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Finding the Third Proportional to 383,908.50 and 897,171.75

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Solution

The third proportional to 383,908.50 and 897,171.75 is: 2,096,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,908.50 : 897,171.75 = 897,171.75 : x
  2. Step 2: Convert to fraction form
    383,908.50/897,171.75 = 897,171.75/x
  3. Step 3: Cross multiply
    383,908.50x = 897,171.75 × 897,171.75
  4. Step 4: Simplify right side
    383,908.50x = 804,917,148,998.06
  5. Step 5: Solve for x
    x = 804,917,148,998.06/383,908.50
  6. Step 6: Final answer
    x = 2,096,638.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.