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Finding the Third Proportional to 189,593 and 414,898

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Solution

The third proportional to 189,593 and 414,898 is: 907,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,593 : 414,898 = 414,898 : x
  2. Step 2: Convert to fraction form
    189,593/414,898 = 414,898/x
  3. Step 3: Cross multiply
    189,593x = 414,898 × 414,898
  4. Step 4: Simplify right side
    189,593x = 172,140,350,404
  5. Step 5: Solve for x
    x = 172,140,350,404/189,593
  6. Step 6: Final answer
    x = 907,946.76

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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.