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Finding the Third Proportional to 299,934 and 652,356

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Solution

The third proportional to 299,934 and 652,356 is: 1,418,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,934 : 652,356 = 652,356 : x
  2. Step 2: Convert to fraction form
    299,934/652,356 = 652,356/x
  3. Step 3: Cross multiply
    299,934x = 652,356 × 652,356
  4. Step 4: Simplify right side
    299,934x = 425,568,350,736
  5. Step 5: Solve for x
    x = 425,568,350,736/299,934
  6. Step 6: Final answer
    x = 1,418,873.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.