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Finding the Third Proportional to 279,293 and 602,857

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Solution

The third proportional to 279,293 and 602,857 is: 1,301,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,293 : 602,857 = 602,857 : x
  2. Step 2: Convert to fraction form
    279,293/602,857 = 602,857/x
  3. Step 3: Cross multiply
    279,293x = 602,857 × 602,857
  4. Step 4: Simplify right side
    279,293x = 363,436,562,449
  5. Step 5: Solve for x
    x = 363,436,562,449/279,293
  6. Step 6: Final answer
    x = 1,301,273.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.