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Finding the Third Proportional to 175,940 and 414,911

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Solution

The third proportional to 175,940 and 414,911 is: 978,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,940 : 414,911 = 414,911 : x
  2. Step 2: Convert to fraction form
    175,940/414,911 = 414,911/x
  3. Step 3: Cross multiply
    175,940x = 414,911 × 414,911
  4. Step 4: Simplify right side
    175,940x = 172,151,137,921
  5. Step 5: Solve for x
    x = 172,151,137,921/175,940
  6. Step 6: Final answer
    x = 978,465.03

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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.