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Finding the Third Proportional to 304,015 and 659,947

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Solution

The third proportional to 304,015 and 659,947 is: 1,432,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,015 : 659,947 = 659,947 : x
  2. Step 2: Convert to fraction form
    304,015/659,947 = 659,947/x
  3. Step 3: Cross multiply
    304,015x = 659,947 × 659,947
  4. Step 4: Simplify right side
    304,015x = 435,530,042,809
  5. Step 5: Solve for x
    x = 435,530,042,809/304,015
  6. Step 6: Final answer
    x = 1,432,593.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.