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Finding the Third Proportional to 256,554 and 593,857

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Solution

The third proportional to 256,554 and 593,857 is: 1,374,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,554 : 593,857 = 593,857 : x
  2. Step 2: Convert to fraction form
    256,554/593,857 = 593,857/x
  3. Step 3: Cross multiply
    256,554x = 593,857 × 593,857
  4. Step 4: Simplify right side
    256,554x = 352,666,136,449
  5. Step 5: Solve for x
    x = 352,666,136,449/256,554
  6. Step 6: Final answer
    x = 1,374,627.32

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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.