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Finding the Third Proportional to 191,812 and 417,944

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Solution

The third proportional to 191,812 and 417,944 is: 910,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,812 : 417,944 = 417,944 : x
  2. Step 2: Convert to fraction form
    191,812/417,944 = 417,944/x
  3. Step 3: Cross multiply
    191,812x = 417,944 × 417,944
  4. Step 4: Simplify right side
    191,812x = 174,677,187,136
  5. Step 5: Solve for x
    x = 174,677,187,136/191,812
  6. Step 6: Final answer
    x = 910,668.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.