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Finding the Third Proportional to 608,583.75 and 947,322.38

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Solution

The third proportional to 608,583.75 and 947,322.38 is: 1,474,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,583.75 : 947,322.38 = 947,322.38 : x
  2. Step 2: Convert to fraction form
    608,583.75/947,322.38 = 947,322.38/x
  3. Step 3: Cross multiply
    608,583.75x = 947,322.38 × 947,322.38
  4. Step 4: Simplify right side
    608,583.75x = 897,419,682,175.64
  5. Step 5: Solve for x
    x = 897,419,682,175.64/608,583.75
  6. Step 6: Final answer
    x = 1,474,603.43

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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.