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Finding the Third Proportional to 197,092 and 423,704

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Solution

The third proportional to 197,092 and 423,704 is: 910,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,092 : 423,704 = 423,704 : x
  2. Step 2: Convert to fraction form
    197,092/423,704 = 423,704/x
  3. Step 3: Cross multiply
    197,092x = 423,704 × 423,704
  4. Step 4: Simplify right side
    197,092x = 179,525,079,616
  5. Step 5: Solve for x
    x = 179,525,079,616/197,092
  6. Step 6: Final answer
    x = 910,869.44

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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.