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Finding the Third Proportional to 256,325 and 550,594

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Solution

The third proportional to 256,325 and 550,594 is: 1,182,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,325 : 550,594 = 550,594 : x
  2. Step 2: Convert to fraction form
    256,325/550,594 = 550,594/x
  3. Step 3: Cross multiply
    256,325x = 550,594 × 550,594
  4. Step 4: Simplify right side
    256,325x = 303,153,752,836
  5. Step 5: Solve for x
    x = 303,153,752,836/256,325
  6. Step 6: Final answer
    x = 1,182,692.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.