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Finding the Third Proportional to 383,883.75 and 897,106.50

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Solution

The third proportional to 383,883.75 and 897,106.50 is: 2,096,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,883.75 : 897,106.50 = 897,106.50 : x
  2. Step 2: Convert to fraction form
    383,883.75/897,106.50 = 897,106.50/x
  3. Step 3: Cross multiply
    383,883.75x = 897,106.50 × 897,106.50
  4. Step 4: Simplify right side
    383,883.75x = 804,800,072,342.25
  5. Step 5: Solve for x
    x = 804,800,072,342.25/383,883.75
  6. Step 6: Final answer
    x = 2,096,468.19

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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.