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Finding the Third Proportional to 189,601 and 414,914

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Solution

The third proportional to 189,601 and 414,914 is: 907,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,601 : 414,914 = 414,914 : x
  2. Step 2: Convert to fraction form
    189,601/414,914 = 414,914/x
  3. Step 3: Cross multiply
    189,601x = 414,914 × 414,914
  4. Step 4: Simplify right side
    189,601x = 172,153,627,396
  5. Step 5: Solve for x
    x = 172,153,627,396/189,601
  6. Step 6: Final answer
    x = 907,978.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.