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Finding the Third Proportional to 241,821 and 503,262

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Solution

The third proportional to 241,821 and 503,262 is: 1,047,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,821 : 503,262 = 503,262 : x
  2. Step 2: Convert to fraction form
    241,821/503,262 = 503,262/x
  3. Step 3: Cross multiply
    241,821x = 503,262 × 503,262
  4. Step 4: Simplify right side
    241,821x = 253,272,640,644
  5. Step 5: Solve for x
    x = 253,272,640,644/241,821
  6. Step 6: Final answer
    x = 1,047,355.86

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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.