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Finding the Third Proportional to 232,021 and 491,500

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Solution

The third proportional to 232,021 and 491,500 is: 1,041,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,021 : 491,500 = 491,500 : x
  2. Step 2: Convert to fraction form
    232,021/491,500 = 491,500/x
  3. Step 3: Cross multiply
    232,021x = 491,500 × 491,500
  4. Step 4: Simplify right side
    232,021x = 241,572,250,000
  5. Step 5: Solve for x
    x = 241,572,250,000/232,021
  6. Step 6: Final answer
    x = 1,041,165.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.