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Finding the Third Proportional to 275,536 and 584,138

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Solution

The third proportional to 275,536 and 584,138 is: 1,238,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,536 : 584,138 = 584,138 : x
  2. Step 2: Convert to fraction form
    275,536/584,138 = 584,138/x
  3. Step 3: Cross multiply
    275,536x = 584,138 × 584,138
  4. Step 4: Simplify right side
    275,536x = 341,217,203,044
  5. Step 5: Solve for x
    x = 341,217,203,044/275,536
  6. Step 6: Final answer
    x = 1,238,376.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.