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Finding the Third Proportional to 276,375.38 and 585,964.13

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Solution

The third proportional to 276,375.38 and 585,964.13 is: 1,242,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,375.38 : 585,964.13 = 585,964.13 : x
  2. Step 2: Convert to fraction form
    276,375.38/585,964.13 = 585,964.13/x
  3. Step 3: Cross multiply
    276,375.38x = 585,964.13 × 585,964.13
  4. Step 4: Simplify right side
    276,375.38x = 343,353,955,787.02
  5. Step 5: Solve for x
    x = 343,353,955,787.02/276,375.38
  6. Step 6: Final answer
    x = 1,242,346.41

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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.