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Finding the Third Proportional to 303,482 and 664,110

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Solution

The third proportional to 303,482 and 664,110 is: 1,453,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,482 : 664,110 = 664,110 : x
  2. Step 2: Convert to fraction form
    303,482/664,110 = 664,110/x
  3. Step 3: Cross multiply
    303,482x = 664,110 × 664,110
  4. Step 4: Simplify right side
    303,482x = 441,042,092,100
  5. Step 5: Solve for x
    x = 441,042,092,100/303,482
  6. Step 6: Final answer
    x = 1,453,272.66

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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.