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Finding the Third Proportional to 187,438 and 404,401

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Solution

The third proportional to 187,438 and 404,401 is: 872,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,438 : 404,401 = 404,401 : x
  2. Step 2: Convert to fraction form
    187,438/404,401 = 404,401/x
  3. Step 3: Cross multiply
    187,438x = 404,401 × 404,401
  4. Step 4: Simplify right side
    187,438x = 163,540,168,801
  5. Step 5: Solve for x
    x = 163,540,168,801/187,438
  6. Step 6: Final answer
    x = 872,502.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.