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Finding the Third Proportional to 205,422 and 448,648

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Solution

The third proportional to 205,422 and 448,648 is: 979,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422 : 448,648 = 448,648 : x
  2. Step 2: Convert to fraction form
    205,422/448,648 = 448,648/x
  3. Step 3: Cross multiply
    205,422x = 448,648 × 448,648
  4. Step 4: Simplify right side
    205,422x = 201,285,027,904
  5. Step 5: Solve for x
    x = 201,285,027,904/205,422
  6. Step 6: Final answer
    x = 979,861.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.