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Finding the Third Proportional to 207,770 and 444,340

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Solution

The third proportional to 207,770 and 444,340 is: 950,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,770 : 444,340 = 444,340 : x
  2. Step 2: Convert to fraction form
    207,770/444,340 = 444,340/x
  3. Step 3: Cross multiply
    207,770x = 444,340 × 444,340
  4. Step 4: Simplify right side
    207,770x = 197,438,035,600
  5. Step 5: Solve for x
    x = 197,438,035,600/207,770
  6. Step 6: Final answer
    x = 950,272.11

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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.