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Finding the Third Proportional to 368,124 and 769,599

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Solution

The third proportional to 368,124 and 769,599 is: 1,608,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,124 : 769,599 = 769,599 : x
  2. Step 2: Convert to fraction form
    368,124/769,599 = 769,599/x
  3. Step 3: Cross multiply
    368,124x = 769,599 × 769,599
  4. Step 4: Simplify right side
    368,124x = 592,282,620,801
  5. Step 5: Solve for x
    x = 592,282,620,801/368,124
  6. Step 6: Final answer
    x = 1,608,921.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.