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Finding the Third Proportional to 269,138 and 584,068

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Solution

The third proportional to 269,138 and 584,068 is: 1,267,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,138 : 584,068 = 584,068 : x
  2. Step 2: Convert to fraction form
    269,138/584,068 = 584,068/x
  3. Step 3: Cross multiply
    269,138x = 584,068 × 584,068
  4. Step 4: Simplify right side
    269,138x = 341,135,428,624
  5. Step 5: Solve for x
    x = 341,135,428,624/269,138
  6. Step 6: Final answer
    x = 1,267,511.20

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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.