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Finding the Third Proportional to 175,944 and 414,920

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Solution

The third proportional to 175,944 and 414,920 is: 978,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,944 : 414,920 = 414,920 : x
  2. Step 2: Convert to fraction form
    175,944/414,920 = 414,920/x
  3. Step 3: Cross multiply
    175,944x = 414,920 × 414,920
  4. Step 4: Simplify right side
    175,944x = 172,158,606,400
  5. Step 5: Solve for x
    x = 172,158,606,400/175,944
  6. Step 6: Final answer
    x = 978,485.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.