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Finding the Third Proportional to 174,964 and 419,914

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Solution

The third proportional to 174,964 and 419,914 is: 1,007,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 419,914 = 419,914 : x
  2. Step 2: Convert to fraction form
    174,964/419,914 = 419,914/x
  3. Step 3: Cross multiply
    174,964x = 419,914 × 419,914
  4. Step 4: Simplify right side
    174,964x = 176,327,767,396
  5. Step 5: Solve for x
    x = 176,327,767,396/174,964
  6. Step 6: Final answer
    x = 1,007,794.56

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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.