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Finding the Third Proportional to 220,716 and 479,844

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Solution

The third proportional to 220,716 and 479,844 is: 1,043,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,716 : 479,844 = 479,844 : x
  2. Step 2: Convert to fraction form
    220,716/479,844 = 479,844/x
  3. Step 3: Cross multiply
    220,716x = 479,844 × 479,844
  4. Step 4: Simplify right side
    220,716x = 230,250,264,336
  5. Step 5: Solve for x
    x = 230,250,264,336/220,716
  6. Step 6: Final answer
    x = 1,043,196.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.