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Finding the Third Proportional to 304,856 and 667,828

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Solution

The third proportional to 304,856 and 667,828 is: 1,462,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,856 : 667,828 = 667,828 : x
  2. Step 2: Convert to fraction form
    304,856/667,828 = 667,828/x
  3. Step 3: Cross multiply
    304,856x = 667,828 × 667,828
  4. Step 4: Simplify right side
    304,856x = 445,994,237,584
  5. Step 5: Solve for x
    x = 445,994,237,584/304,856
  6. Step 6: Final answer
    x = 1,462,966.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.