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Finding the Third Proportional to 276,380 and 585,975

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Solution

The third proportional to 276,380 and 585,975 is: 1,242,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,380 : 585,975 = 585,975 : x
  2. Step 2: Convert to fraction form
    276,380/585,975 = 585,975/x
  3. Step 3: Cross multiply
    276,380x = 585,975 × 585,975
  4. Step 4: Simplify right side
    276,380x = 343,366,700,625
  5. Step 5: Solve for x
    x = 343,366,700,625/276,380
  6. Step 6: Final answer
    x = 1,242,371.74

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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.