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Finding the Third Proportional to 256,056 and 395,634

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Solution

The third proportional to 256,056 and 395,634 is: 611,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,056 : 395,634 = 395,634 : x
  2. Step 2: Convert to fraction form
    256,056/395,634 = 395,634/x
  3. Step 3: Cross multiply
    256,056x = 395,634 × 395,634
  4. Step 4: Simplify right side
    256,056x = 156,526,261,956
  5. Step 5: Solve for x
    x = 156,526,261,956/256,056
  6. Step 6: Final answer
    x = 611,296.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.