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Finding the Third Proportional to 276,382 and 585,977

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Solution

The third proportional to 276,382 and 585,977 is: 1,242,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,382 : 585,977 = 585,977 : x
  2. Step 2: Convert to fraction form
    276,382/585,977 = 585,977/x
  3. Step 3: Cross multiply
    276,382x = 585,977 × 585,977
  4. Step 4: Simplify right side
    276,382x = 343,369,044,529
  5. Step 5: Solve for x
    x = 343,369,044,529/276,382
  6. Step 6: Final answer
    x = 1,242,371.23

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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.