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Finding the Third Proportional to 197,325 and 427,914

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Solution

The third proportional to 197,325 and 427,914 is: 927,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,325 : 427,914 = 427,914 : x
  2. Step 2: Convert to fraction form
    197,325/427,914 = 427,914/x
  3. Step 3: Cross multiply
    197,325x = 427,914 × 427,914
  4. Step 4: Simplify right side
    197,325x = 183,110,391,396
  5. Step 5: Solve for x
    x = 183,110,391,396/197,325
  6. Step 6: Final answer
    x = 927,963.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.