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Finding the Third Proportional to 215,138 and 467,590

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Solution

The third proportional to 215,138 and 467,590 is: 1,016,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,138 : 467,590 = 467,590 : x
  2. Step 2: Convert to fraction form
    215,138/467,590 = 467,590/x
  3. Step 3: Cross multiply
    215,138x = 467,590 × 467,590
  4. Step 4: Simplify right side
    215,138x = 218,640,408,100
  5. Step 5: Solve for x
    x = 218,640,408,100/215,138
  6. Step 6: Final answer
    x = 1,016,279.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.