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Finding the Third Proportional to 207,764 and 444,328

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Solution

The third proportional to 207,764 and 444,328 is: 950,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,764 : 444,328 = 444,328 : x
  2. Step 2: Convert to fraction form
    207,764/444,328 = 444,328/x
  3. Step 3: Cross multiply
    207,764x = 444,328 × 444,328
  4. Step 4: Simplify right side
    207,764x = 197,427,371,584
  5. Step 5: Solve for x
    x = 197,427,371,584/207,764
  6. Step 6: Final answer
    x = 950,248.22

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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.