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Finding the Third Proportional to 305,868 and 672,244

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Solution

The third proportional to 305,868 and 672,244 is: 1,477,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,868 : 672,244 = 672,244 : x
  2. Step 2: Convert to fraction form
    305,868/672,244 = 672,244/x
  3. Step 3: Cross multiply
    305,868x = 672,244 × 672,244
  4. Step 4: Simplify right side
    305,868x = 451,911,995,536
  5. Step 5: Solve for x
    x = 451,911,995,536/305,868
  6. Step 6: Final answer
    x = 1,477,473.93

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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.