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Finding the Third Proportional to 263,126 and 366,599

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Solution

The third proportional to 263,126 and 366,599 is: 510,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,126 : 366,599 = 366,599 : x
  2. Step 2: Convert to fraction form
    263,126/366,599 = 366,599/x
  3. Step 3: Cross multiply
    263,126x = 366,599 × 366,599
  4. Step 4: Simplify right side
    263,126x = 134,394,826,801
  5. Step 5: Solve for x
    x = 134,394,826,801/263,126
  6. Step 6: Final answer
    x = 510,762.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.