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Finding the Third Proportional to 220,992 and 476,928

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Solution

The third proportional to 220,992 and 476,928 is: 1,029,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,992 : 476,928 = 476,928 : x
  2. Step 2: Convert to fraction form
    220,992/476,928 = 476,928/x
  3. Step 3: Cross multiply
    220,992x = 476,928 × 476,928
  4. Step 4: Simplify right side
    220,992x = 227,460,317,184
  5. Step 5: Solve for x
    x = 227,460,317,184/220,992
  6. Step 6: Final answer
    x = 1,029,269.46

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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.