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Finding the Third Proportional to 299,586 and 652,074

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Solution

The third proportional to 299,586 and 652,074 is: 1,419,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,586 : 652,074 = 652,074 : x
  2. Step 2: Convert to fraction form
    299,586/652,074 = 652,074/x
  3. Step 3: Cross multiply
    299,586x = 652,074 × 652,074
  4. Step 4: Simplify right side
    299,586x = 425,200,501,476
  5. Step 5: Solve for x
    x = 425,200,501,476/299,586
  6. Step 6: Final answer
    x = 1,419,293.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.