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Finding the Third Proportional to 212,927 and 469,059

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Solution

The third proportional to 212,927 and 469,059 is: 1,033,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,927 : 469,059 = 469,059 : x
  2. Step 2: Convert to fraction form
    212,927/469,059 = 469,059/x
  3. Step 3: Cross multiply
    212,927x = 469,059 × 469,059
  4. Step 4: Simplify right side
    212,927x = 220,016,345,481
  5. Step 5: Solve for x
    x = 220,016,345,481/212,927
  6. Step 6: Final answer
    x = 1,033,294.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.