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Finding the Third Proportional to 220,900 and 480,904

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Solution

The third proportional to 220,900 and 480,904 is: 1,046,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,900 : 480,904 = 480,904 : x
  2. Step 2: Convert to fraction form
    220,900/480,904 = 480,904/x
  3. Step 3: Cross multiply
    220,900x = 480,904 × 480,904
  4. Step 4: Simplify right side
    220,900x = 231,268,657,216
  5. Step 5: Solve for x
    x = 231,268,657,216/220,900
  6. Step 6: Final answer
    x = 1,046,938.24

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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.