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Finding the Third Proportional to 220,616 and 476,224

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Solution

The third proportional to 220,616 and 476,224 is: 1,027,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,616 : 476,224 = 476,224 : x
  2. Step 2: Convert to fraction form
    220,616/476,224 = 476,224/x
  3. Step 3: Cross multiply
    220,616x = 476,224 × 476,224
  4. Step 4: Simplify right side
    220,616x = 226,789,298,176
  5. Step 5: Solve for x
    x = 226,789,298,176/220,616
  6. Step 6: Final answer
    x = 1,027,982.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.