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Finding the Third Proportional to 241,830 and 503,278

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Solution

The third proportional to 241,830 and 503,278 is: 1,047,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,830 : 503,278 = 503,278 : x
  2. Step 2: Convert to fraction form
    241,830/503,278 = 503,278/x
  3. Step 3: Cross multiply
    241,830x = 503,278 × 503,278
  4. Step 4: Simplify right side
    241,830x = 253,288,745,284
  5. Step 5: Solve for x
    x = 253,288,745,284/241,830
  6. Step 6: Final answer
    x = 1,047,383.47

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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.