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Finding the Third Proportional to 256,555 and 593,859

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Solution

The third proportional to 256,555 and 593,859 is: 1,374,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,555 : 593,859 = 593,859 : x
  2. Step 2: Convert to fraction form
    256,555/593,859 = 593,859/x
  3. Step 3: Cross multiply
    256,555x = 593,859 × 593,859
  4. Step 4: Simplify right side
    256,555x = 352,668,511,881
  5. Step 5: Solve for x
    x = 352,668,511,881/256,555
  6. Step 6: Final answer
    x = 1,374,631.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.