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Finding the Third Proportional to 220,908 and 480,920

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Solution

The third proportional to 220,908 and 480,920 is: 1,046,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,908 : 480,920 = 480,920 : x
  2. Step 2: Convert to fraction form
    220,908/480,920 = 480,920/x
  3. Step 3: Cross multiply
    220,908x = 480,920 × 480,920
  4. Step 4: Simplify right side
    220,908x = 231,284,046,400
  5. Step 5: Solve for x
    x = 231,284,046,400/220,908
  6. Step 6: Final answer
    x = 1,046,969.99

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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.