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Finding the Third Proportional to 299,592 and 652,077

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Solution

The third proportional to 299,592 and 652,077 is: 1,419,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,592 : 652,077 = 652,077 : x
  2. Step 2: Convert to fraction form
    299,592/652,077 = 652,077/x
  3. Step 3: Cross multiply
    299,592x = 652,077 × 652,077
  4. Step 4: Simplify right side
    299,592x = 425,204,413,929
  5. Step 5: Solve for x
    x = 425,204,413,929/299,592
  6. Step 6: Final answer
    x = 1,419,278.26

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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.