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Finding the Third Proportional to 216,970.88 and 444,512.25

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Solution

The third proportional to 216,970.88 and 444,512.25 is: 910,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,970.88 : 444,512.25 = 444,512.25 : x
  2. Step 2: Convert to fraction form
    216,970.88/444,512.25 = 444,512.25/x
  3. Step 3: Cross multiply
    216,970.88x = 444,512.25 × 444,512.25
  4. Step 4: Simplify right side
    216,970.88x = 197,591,140,400.06
  5. Step 5: Solve for x
    x = 197,591,140,400.06/216,970.88
  6. Step 6: Final answer
    x = 910,680.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.