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Finding the Third Proportional to 251,669 and 503,149

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Solution

The third proportional to 251,669 and 503,149 is: 1,005,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,669 : 503,149 = 503,149 : x
  2. Step 2: Convert to fraction form
    251,669/503,149 = 503,149/x
  3. Step 3: Cross multiply
    251,669x = 503,149 × 503,149
  4. Step 4: Simplify right side
    251,669x = 253,158,916,201
  5. Step 5: Solve for x
    x = 253,158,916,201/251,669
  6. Step 6: Final answer
    x = 1,005,920.14

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.