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Finding the Third Proportional to 303,437 and 662,170

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Solution

The third proportional to 303,437 and 662,170 is: 1,445,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,437 : 662,170 = 662,170 : x
  2. Step 2: Convert to fraction form
    303,437/662,170 = 662,170/x
  3. Step 3: Cross multiply
    303,437x = 662,170 × 662,170
  4. Step 4: Simplify right side
    303,437x = 438,469,108,900
  5. Step 5: Solve for x
    x = 438,469,108,900/303,437
  6. Step 6: Final answer
    x = 1,445,008.71

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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.