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Finding the Third Proportional to 299,578 and 652,057

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Solution

The third proportional to 299,578 and 652,057 is: 1,419,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,578 : 652,057 = 652,057 : x
  2. Step 2: Convert to fraction form
    299,578/652,057 = 652,057/x
  3. Step 3: Cross multiply
    299,578x = 652,057 × 652,057
  4. Step 4: Simplify right side
    299,578x = 425,178,331,249
  5. Step 5: Solve for x
    x = 425,178,331,249/299,578
  6. Step 6: Final answer
    x = 1,419,257.53

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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.