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Finding the Third Proportional to 608,589 and 947,325

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Solution

The third proportional to 608,589 and 947,325 is: 1,474,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,589 : 947,325 = 947,325 : x
  2. Step 2: Convert to fraction form
    608,589/947,325 = 947,325/x
  3. Step 3: Cross multiply
    608,589x = 947,325 × 947,325
  4. Step 4: Simplify right side
    608,589x = 897,424,655,625
  5. Step 5: Solve for x
    x = 897,424,655,625/608,589
  6. Step 6: Final answer
    x = 1,474,598.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.