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Finding the Third Proportional to 241,809 and 503,242

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Solution

The third proportional to 241,809 and 503,242 is: 1,047,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,809 : 503,242 = 503,242 : x
  2. Step 2: Convert to fraction form
    241,809/503,242 = 503,242/x
  3. Step 3: Cross multiply
    241,809x = 503,242 × 503,242
  4. Step 4: Simplify right side
    241,809x = 253,252,510,564
  5. Step 5: Solve for x
    x = 253,252,510,564/241,809
  6. Step 6: Final answer
    x = 1,047,324.58

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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.