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Finding the Third Proportional to 444,236 and 706,538

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Solution

The third proportional to 444,236 and 706,538 is: 1,123,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,236 : 706,538 = 706,538 : x
  2. Step 2: Convert to fraction form
    444,236/706,538 = 706,538/x
  3. Step 3: Cross multiply
    444,236x = 706,538 × 706,538
  4. Step 4: Simplify right side
    444,236x = 499,195,945,444
  5. Step 5: Solve for x
    x = 499,195,945,444/444,236
  6. Step 6: Final answer
    x = 1,123,717.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.