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Finding the Third Proportional to 279,296 and 602,872

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Solution

The third proportional to 279,296 and 602,872 is: 1,301,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,296 : 602,872 = 602,872 : x
  2. Step 2: Convert to fraction form
    279,296/602,872 = 602,872/x
  3. Step 3: Cross multiply
    279,296x = 602,872 × 602,872
  4. Step 4: Simplify right side
    279,296x = 363,454,648,384
  5. Step 5: Solve for x
    x = 363,454,648,384/279,296
  6. Step 6: Final answer
    x = 1,301,324.22

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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.