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Finding the Third Proportional to 175,635 and 414,471

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Solution

The third proportional to 175,635 and 414,471 is: 978,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,635 : 414,471 = 414,471 : x
  2. Step 2: Convert to fraction form
    175,635/414,471 = 414,471/x
  3. Step 3: Cross multiply
    175,635x = 414,471 × 414,471
  4. Step 4: Simplify right side
    175,635x = 171,786,209,841
  5. Step 5: Solve for x
    x = 171,786,209,841/175,635
  6. Step 6: Final answer
    x = 978,086.43

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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.