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Finding the Third Proportional to 276,183 and 585,486

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Solution

The third proportional to 276,183 and 585,486 is: 1,241,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,183 : 585,486 = 585,486 : x
  2. Step 2: Convert to fraction form
    276,183/585,486 = 585,486/x
  3. Step 3: Cross multiply
    276,183x = 585,486 × 585,486
  4. Step 4: Simplify right side
    276,183x = 342,793,856,196
  5. Step 5: Solve for x
    x = 342,793,856,196/276,183
  6. Step 6: Final answer
    x = 1,241,183.77

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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.