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Finding the Third Proportional to 276,846 and 395,886

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Solution

The third proportional to 276,846 and 395,886 is: 566,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,846 : 395,886 = 395,886 : x
  2. Step 2: Convert to fraction form
    276,846/395,886 = 395,886/x
  3. Step 3: Cross multiply
    276,846x = 395,886 × 395,886
  4. Step 4: Simplify right side
    276,846x = 156,725,724,996
  5. Step 5: Solve for x
    x = 156,725,724,996/276,846
  6. Step 6: Final answer
    x = 566,111.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.