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Finding the Third Proportional to 207,774 and 444,348

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Solution

The third proportional to 207,774 and 444,348 is: 950,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,774 : 444,348 = 444,348 : x
  2. Step 2: Convert to fraction form
    207,774/444,348 = 444,348/x
  3. Step 3: Cross multiply
    207,774x = 444,348 × 444,348
  4. Step 4: Simplify right side
    207,774x = 197,445,145,104
  5. Step 5: Solve for x
    x = 197,445,145,104/207,774
  6. Step 6: Final answer
    x = 950,288.03

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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.