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Finding the Third Proportional to 304,858.69 and 664,012.69

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Solution

The third proportional to 304,858.69 and 664,012.69 is: 1,446,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,858.69 : 664,012.69 = 664,012.69 : x
  2. Step 2: Convert to fraction form
    304,858.69/664,012.69 = 664,012.69/x
  3. Step 3: Cross multiply
    304,858.69x = 664,012.69 × 664,012.69
  4. Step 4: Simplify right side
    304,858.69x = 440,912,849,160.97
  5. Step 5: Solve for x
    x = 440,912,849,160.97/304,858.69
  6. Step 6: Final answer
    x = 1,446,285.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.