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Finding the Third Proportional to 214,992 and 502,041

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Solution

The third proportional to 214,992 and 502,041 is: 1,172,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,992 : 502,041 = 502,041 : x
  2. Step 2: Convert to fraction form
    214,992/502,041 = 502,041/x
  3. Step 3: Cross multiply
    214,992x = 502,041 × 502,041
  4. Step 4: Simplify right side
    214,992x = 252,045,165,681
  5. Step 5: Solve for x
    x = 252,045,165,681/214,992
  6. Step 6: Final answer
    x = 1,172,346.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.