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Finding the Third Proportional to 299,759 and 652,384

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Solution

The third proportional to 299,759 and 652,384 is: 1,419,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,759 : 652,384 = 652,384 : x
  2. Step 2: Convert to fraction form
    299,759/652,384 = 652,384/x
  3. Step 3: Cross multiply
    299,759x = 652,384 × 652,384
  4. Step 4: Simplify right side
    299,759x = 425,604,883,456
  5. Step 5: Solve for x
    x = 425,604,883,456/299,759
  6. Step 6: Final answer
    x = 1,419,823.54

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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.