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Finding the Third Proportional to 200,892 and 437,502

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Solution

The third proportional to 200,892 and 437,502 is: 952,790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892 : 437,502 = 437,502 : x
  2. Step 2: Convert to fraction form
    200,892/437,502 = 437,502/x
  3. Step 3: Cross multiply
    200,892x = 437,502 × 437,502
  4. Step 4: Simplify right side
    200,892x = 191,408,000,004
  5. Step 5: Solve for x
    x = 191,408,000,004/200,892
  6. Step 6: Final answer
    x = 952,790.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.