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Finding the Third Proportional to 197,324 and 427,912

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Solution

The third proportional to 197,324 and 427,912 is: 927,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,324 : 427,912 = 427,912 : x
  2. Step 2: Convert to fraction form
    197,324/427,912 = 427,912/x
  3. Step 3: Cross multiply
    197,324x = 427,912 × 427,912
  4. Step 4: Simplify right side
    197,324x = 183,108,679,744
  5. Step 5: Solve for x
    x = 183,108,679,744/197,324
  6. Step 6: Final answer
    x = 927,959.50

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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.