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Finding the Third Proportional to 460,221.75 and 984,408.75

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Solution

The third proportional to 460,221.75 and 984,408.75 is: 2,105,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,221.75 : 984,408.75 = 984,408.75 : x
  2. Step 2: Convert to fraction form
    460,221.75/984,408.75 = 984,408.75/x
  3. Step 3: Cross multiply
    460,221.75x = 984,408.75 × 984,408.75
  4. Step 4: Simplify right side
    460,221.75x = 969,060,587,076.56
  5. Step 5: Solve for x
    x = 969,060,587,076.56/460,221.75
  6. Step 6: Final answer
    x = 2,105,638.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.