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Finding the Third Proportional to 458,887.50 and 984,204

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Solution

The third proportional to 458,887.50 and 984,204 is: 2,110,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,887.50 : 984,204 = 984,204 : x
  2. Step 2: Convert to fraction form
    458,887.50/984,204 = 984,204/x
  3. Step 3: Cross multiply
    458,887.50x = 984,204 × 984,204
  4. Step 4: Simplify right side
    458,887.50x = 968,657,513,616
  5. Step 5: Solve for x
    x = 968,657,513,616/458,887.50
  6. Step 6: Final answer
    x = 2,110,882.33

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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.