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Finding the Third Proportional to 362,568 and 777,606

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Solution

The third proportional to 362,568 and 777,606 is: 1,667,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,568 : 777,606 = 777,606 : x
  2. Step 2: Convert to fraction form
    362,568/777,606 = 777,606/x
  3. Step 3: Cross multiply
    362,568x = 777,606 × 777,606
  4. Step 4: Simplify right side
    362,568x = 604,671,091,236
  5. Step 5: Solve for x
    x = 604,671,091,236/362,568
  6. Step 6: Final answer
    x = 1,667,745.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.