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Finding the Third Proportional to 362,569 and 777,626

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Solution

The third proportional to 362,569 and 777,626 is: 1,667,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,569 : 777,626 = 777,626 : x
  2. Step 2: Convert to fraction form
    362,569/777,626 = 777,626/x
  3. Step 3: Cross multiply
    362,569x = 777,626 × 777,626
  4. Step 4: Simplify right side
    362,569x = 604,702,195,876
  5. Step 5: Solve for x
    x = 604,702,195,876/362,569
  6. Step 6: Final answer
    x = 1,667,826.53

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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.