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Finding the Third Proportional to 207,264 and 444,720

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Solution

The third proportional to 207,264 and 444,720 is: 954,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,264 : 444,720 = 444,720 : x
  2. Step 2: Convert to fraction form
    207,264/444,720 = 444,720/x
  3. Step 3: Cross multiply
    207,264x = 444,720 × 444,720
  4. Step 4: Simplify right side
    207,264x = 197,775,878,400
  5. Step 5: Solve for x
    x = 197,775,878,400/207,264
  6. Step 6: Final answer
    x = 954,222.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.