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Finding the Third Proportional to 212,944 and 469,096.44

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Solution

The third proportional to 212,944 and 469,096.44 is: 1,033,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,944 : 469,096.44 = 469,096.44 : x
  2. Step 2: Convert to fraction form
    212,944/469,096.44 = 469,096.44/x
  3. Step 3: Cross multiply
    212,944x = 469,096.44 × 469,096.44
  4. Step 4: Simplify right side
    212,944x = 220,051,467,675.19
  5. Step 5: Solve for x
    x = 220,051,467,675.19/212,944
  6. Step 6: Final answer
    x = 1,033,377.17

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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.