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Finding the Third Proportional to 309,996 and 467,274

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Solution

The third proportional to 309,996 and 467,274 is: 704,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,996 : 467,274 = 467,274 : x
  2. Step 2: Convert to fraction form
    309,996/467,274 = 467,274/x
  3. Step 3: Cross multiply
    309,996x = 467,274 × 467,274
  4. Step 4: Simplify right side
    309,996x = 218,344,991,076
  5. Step 5: Solve for x
    x = 218,344,991,076/309,996
  6. Step 6: Final answer
    x = 704,347.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.