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Finding the Third Proportional to 175,905 and 414,834

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Solution

The third proportional to 175,905 and 414,834 is: 978,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,905 : 414,834 = 414,834 : x
  2. Step 2: Convert to fraction form
    175,905/414,834 = 414,834/x
  3. Step 3: Cross multiply
    175,905x = 414,834 × 414,834
  4. Step 4: Simplify right side
    175,905x = 172,087,247,556
  5. Step 5: Solve for x
    x = 172,087,247,556/175,905
  6. Step 6: Final answer
    x = 978,296.51

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