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Finding the Third Proportional to 276,056 and 587,104

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Solution

The third proportional to 276,056 and 587,104 is: 1,248,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,056 : 587,104 = 587,104 : x
  2. Step 2: Convert to fraction form
    276,056/587,104 = 587,104/x
  3. Step 3: Cross multiply
    276,056x = 587,104 × 587,104
  4. Step 4: Simplify right side
    276,056x = 344,691,106,816
  5. Step 5: Solve for x
    x = 344,691,106,816/276,056
  6. Step 6: Final answer
    x = 1,248,627.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.