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Finding the Third Proportional to 189,252 and 406,404

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Solution

The third proportional to 189,252 and 406,404 is: 872,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,252 : 406,404 = 406,404 : x
  2. Step 2: Convert to fraction form
    189,252/406,404 = 406,404/x
  3. Step 3: Cross multiply
    189,252x = 406,404 × 406,404
  4. Step 4: Simplify right side
    189,252x = 165,164,211,216
  5. Step 5: Solve for x
    x = 165,164,211,216/189,252
  6. Step 6: Final answer
    x = 872,721.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.