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Finding the Third Proportional to 276,138 and 594,531

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Solution

The third proportional to 276,138 and 594,531 is: 1,280,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,138 : 594,531 = 594,531 : x
  2. Step 2: Convert to fraction form
    276,138/594,531 = 594,531/x
  3. Step 3: Cross multiply
    276,138x = 594,531 × 594,531
  4. Step 4: Simplify right side
    276,138x = 353,467,109,961
  5. Step 5: Solve for x
    x = 353,467,109,961/276,138
  6. Step 6: Final answer
    x = 1,280,037.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.