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Finding the Third Proportional to 194,048 and 417,606

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Solution

The third proportional to 194,048 and 417,606 is: 898,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,048 : 417,606 = 417,606 : x
  2. Step 2: Convert to fraction form
    194,048/417,606 = 417,606/x
  3. Step 3: Cross multiply
    194,048x = 417,606 × 417,606
  4. Step 4: Simplify right side
    194,048x = 174,394,771,236
  5. Step 5: Solve for x
    x = 174,394,771,236/194,048
  6. Step 6: Final answer
    x = 898,719.76

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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.