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Finding the Third Proportional to 241,823 and 503,266

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Solution

The third proportional to 241,823 and 503,266 is: 1,047,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,823 : 503,266 = 503,266 : x
  2. Step 2: Convert to fraction form
    241,823/503,266 = 503,266/x
  3. Step 3: Cross multiply
    241,823x = 503,266 × 503,266
  4. Step 4: Simplify right side
    241,823x = 253,276,666,756
  5. Step 5: Solve for x
    x = 253,276,666,756/241,823
  6. Step 6: Final answer
    x = 1,047,363.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.