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Finding the Third Proportional to 174,966 and 419,919

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Solution

The third proportional to 174,966 and 419,919 is: 1,007,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966 : 419,919 = 419,919 : x
  2. Step 2: Convert to fraction form
    174,966/419,919 = 419,919/x
  3. Step 3: Cross multiply
    174,966x = 419,919 × 419,919
  4. Step 4: Simplify right side
    174,966x = 176,331,966,561
  5. Step 5: Solve for x
    x = 176,331,966,561/174,966
  6. Step 6: Final answer
    x = 1,007,807.04

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.