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Finding the Third Proportional to 189,879 and 448,229

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Solution

The third proportional to 189,879 and 448,229 is: 1,058,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,879 : 448,229 = 448,229 : x
  2. Step 2: Convert to fraction form
    189,879/448,229 = 448,229/x
  3. Step 3: Cross multiply
    189,879x = 448,229 × 448,229
  4. Step 4: Simplify right side
    189,879x = 200,909,236,441
  5. Step 5: Solve for x
    x = 200,909,236,441/189,879
  6. Step 6: Final answer
    x = 1,058,090.87

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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.