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Finding the Third Proportional to 256,558 and 593,867

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Solution

The third proportional to 256,558 and 593,867 is: 1,374,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,558 : 593,867 = 593,867 : x
  2. Step 2: Convert to fraction form
    256,558/593,867 = 593,867/x
  3. Step 3: Cross multiply
    256,558x = 593,867 × 593,867
  4. Step 4: Simplify right side
    256,558x = 352,678,013,689
  5. Step 5: Solve for x
    x = 352,678,013,689/256,558
  6. Step 6: Final answer
    x = 1,374,652.18

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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.