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Finding the Third Proportional to 276,384 and 585,982

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Solution

The third proportional to 276,384 and 585,982 is: 1,242,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,384 : 585,982 = 585,982 : x
  2. Step 2: Convert to fraction form
    276,384/585,982 = 585,982/x
  3. Step 3: Cross multiply
    276,384x = 585,982 × 585,982
  4. Step 4: Simplify right side
    276,384x = 343,374,904,324
  5. Step 5: Solve for x
    x = 343,374,904,324/276,384
  6. Step 6: Final answer
    x = 1,242,383.44

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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.