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Finding the Third Proportional to 241,301 and 529,866

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Solution

The third proportional to 241,301 and 529,866 is: 1,163,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,301 : 529,866 = 529,866 : x
  2. Step 2: Convert to fraction form
    241,301/529,866 = 529,866/x
  3. Step 3: Cross multiply
    241,301x = 529,866 × 529,866
  4. Step 4: Simplify right side
    241,301x = 280,757,977,956
  5. Step 5: Solve for x
    x = 280,757,977,956/241,301
  6. Step 6: Final answer
    x = 1,163,517.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.