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Finding the Third Proportional to 212,544 and 451,008

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Solution

The third proportional to 212,544 and 451,008 is: 957,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,544 : 451,008 = 451,008 : x
  2. Step 2: Convert to fraction form
    212,544/451,008 = 451,008/x
  3. Step 3: Cross multiply
    212,544x = 451,008 × 451,008
  4. Step 4: Simplify right side
    212,544x = 203,408,216,064
  5. Step 5: Solve for x
    x = 203,408,216,064/212,544
  6. Step 6: Final answer
    x = 957,016.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.