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Finding the Third Proportional to 175,914 and 414,853

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Solution

The third proportional to 175,914 and 414,853 is: 978,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,914 : 414,853 = 414,853 : x
  2. Step 2: Convert to fraction form
    175,914/414,853 = 414,853/x
  3. Step 3: Cross multiply
    175,914x = 414,853 × 414,853
  4. Step 4: Simplify right side
    175,914x = 172,103,011,609
  5. Step 5: Solve for x
    x = 172,103,011,609/175,914
  6. Step 6: Final answer
    x = 978,336.07

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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.