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Finding the Third Proportional to 331,227 and 714,942

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Solution

The third proportional to 331,227 and 714,942 is: 1,543,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,227 : 714,942 = 714,942 : x
  2. Step 2: Convert to fraction form
    331,227/714,942 = 714,942/x
  3. Step 3: Cross multiply
    331,227x = 714,942 × 714,942
  4. Step 4: Simplify right side
    331,227x = 511,142,063,364
  5. Step 5: Solve for x
    x = 511,142,063,364/331,227
  6. Step 6: Final answer
    x = 1,543,177.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.