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Finding the Third Proportional to 383,917.50 and 896,881.50

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Solution

The third proportional to 383,917.50 and 896,881.50 is: 2,095,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,917.50 : 896,881.50 = 896,881.50 : x
  2. Step 2: Convert to fraction form
    383,917.50/896,881.50 = 896,881.50/x
  3. Step 3: Cross multiply
    383,917.50x = 896,881.50 × 896,881.50
  4. Step 4: Simplify right side
    383,917.50x = 804,396,425,042.25
  5. Step 5: Solve for x
    x = 804,396,425,042.25/383,917.50
  6. Step 6: Final answer
    x = 2,095,232.50

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