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Finding the Third Proportional to 220,032 and 481,280

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Solution

The third proportional to 220,032 and 481,280 is: 1,052,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,032 : 481,280 = 481,280 : x
  2. Step 2: Convert to fraction form
    220,032/481,280 = 481,280/x
  3. Step 3: Cross multiply
    220,032x = 481,280 × 481,280
  4. Step 4: Simplify right side
    220,032x = 231,630,438,400
  5. Step 5: Solve for x
    x = 231,630,438,400/220,032
  6. Step 6: Final answer
    x = 1,052,712.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.