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Finding the Third Proportional to 274,176 and 635,328

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Solution

The third proportional to 274,176 and 635,328 is: 1,472,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,176 : 635,328 = 635,328 : x
  2. Step 2: Convert to fraction form
    274,176/635,328 = 635,328/x
  3. Step 3: Cross multiply
    274,176x = 635,328 × 635,328
  4. Step 4: Simplify right side
    274,176x = 403,641,667,584
  5. Step 5: Solve for x
    x = 403,641,667,584/274,176
  6. Step 6: Final answer
    x = 1,472,199.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.