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Finding the Third Proportional to 174,960 and 419,904

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Solution

The third proportional to 174,960 and 419,904 is: 1,007,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,960 : 419,904 = 419,904 : x
  2. Step 2: Convert to fraction form
    174,960/419,904 = 419,904/x
  3. Step 3: Cross multiply
    174,960x = 419,904 × 419,904
  4. Step 4: Simplify right side
    174,960x = 176,319,369,216
  5. Step 5: Solve for x
    x = 176,319,369,216/174,960
  6. Step 6: Final answer
    x = 1,007,769.60

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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.