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Finding the Third Proportional to 197,702 and 411,788

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Solution

The third proportional to 197,702 and 411,788 is: 857,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,702 : 411,788 = 411,788 : x
  2. Step 2: Convert to fraction form
    197,702/411,788 = 411,788/x
  3. Step 3: Cross multiply
    197,702x = 411,788 × 411,788
  4. Step 4: Simplify right side
    197,702x = 169,569,356,944
  5. Step 5: Solve for x
    x = 169,569,356,944/197,702
  6. Step 6: Final answer
    x = 857,701.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.