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Finding the Third Proportional to 202,418 and 444,200

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Solution

The third proportional to 202,418 and 444,200 is: 974,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,418 : 444,200 = 444,200 : x
  2. Step 2: Convert to fraction form
    202,418/444,200 = 444,200/x
  3. Step 3: Cross multiply
    202,418x = 444,200 × 444,200
  4. Step 4: Simplify right side
    202,418x = 197,313,640,000
  5. Step 5: Solve for x
    x = 197,313,640,000/202,418
  6. Step 6: Final answer
    x = 974,783.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.