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Finding the Third Proportional to 303,845 and 662,361

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Solution

The third proportional to 303,845 and 662,361 is: 1,443,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,845 : 662,361 = 662,361 : x
  2. Step 2: Convert to fraction form
    303,845/662,361 = 662,361/x
  3. Step 3: Cross multiply
    303,845x = 662,361 × 662,361
  4. Step 4: Simplify right side
    303,845x = 438,722,094,321
  5. Step 5: Solve for x
    x = 438,722,094,321/303,845
  6. Step 6: Final answer
    x = 1,443,900.98

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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.