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Finding the Third Proportional to 175,904 and 414,815

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Solution

The third proportional to 175,904 and 414,815 is: 978,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,904 : 414,815 = 414,815 : x
  2. Step 2: Convert to fraction form
    175,904/414,815 = 414,815/x
  3. Step 3: Cross multiply
    175,904x = 414,815 × 414,815
  4. Step 4: Simplify right side
    175,904x = 172,071,484,225
  5. Step 5: Solve for x
    x = 172,071,484,225/175,904
  6. Step 6: Final answer
    x = 978,212.46

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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.