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Finding the Third Proportional to 256,424 and 593,642

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Solution

The third proportional to 256,424 and 593,642 is: 1,374,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,424 : 593,642 = 593,642 : x
  2. Step 2: Convert to fraction form
    256,424/593,642 = 593,642/x
  3. Step 3: Cross multiply
    256,424x = 593,642 × 593,642
  4. Step 4: Simplify right side
    256,424x = 352,410,824,164
  5. Step 5: Solve for x
    x = 352,410,824,164/256,424
  6. Step 6: Final answer
    x = 1,374,328.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.