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Finding the Third Proportional to 458,133.75 and 997,584.75

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Solution

The third proportional to 458,133.75 and 997,584.75 is: 2,172,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,133.75 : 997,584.75 = 997,584.75 : x
  2. Step 2: Convert to fraction form
    458,133.75/997,584.75 = 997,584.75/x
  3. Step 3: Cross multiply
    458,133.75x = 997,584.75 × 997,584.75
  4. Step 4: Simplify right side
    458,133.75x = 995,175,333,432.56
  5. Step 5: Solve for x
    x = 995,175,333,432.56/458,133.75
  6. Step 6: Final answer
    x = 2,172,237.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.