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Finding the Third Proportional to 175,698 and 414,555

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Solution

The third proportional to 175,698 and 414,555 is: 978,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,698 : 414,555 = 414,555 : x
  2. Step 2: Convert to fraction form
    175,698/414,555 = 414,555/x
  3. Step 3: Cross multiply
    175,698x = 414,555 × 414,555
  4. Step 4: Simplify right side
    175,698x = 171,855,848,025
  5. Step 5: Solve for x
    x = 171,855,848,025/175,698
  6. Step 6: Final answer
    x = 978,132.07

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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.