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Finding the Third Proportional to 293,449 and 609,857

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Solution

The third proportional to 293,449 and 609,857 is: 1,267,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,449 : 609,857 = 609,857 : x
  2. Step 2: Convert to fraction form
    293,449/609,857 = 609,857/x
  3. Step 3: Cross multiply
    293,449x = 609,857 × 609,857
  4. Step 4: Simplify right side
    293,449x = 371,925,560,449
  5. Step 5: Solve for x
    x = 371,925,560,449/293,449
  6. Step 6: Final answer
    x = 1,267,428.28

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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.