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Finding the Third Proportional to 299,757 and 652,380

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Solution

The third proportional to 299,757 and 652,380 is: 1,419,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,757 : 652,380 = 652,380 : x
  2. Step 2: Convert to fraction form
    299,757/652,380 = 652,380/x
  3. Step 3: Cross multiply
    299,757x = 652,380 × 652,380
  4. Step 4: Simplify right side
    299,757x = 425,599,664,400
  5. Step 5: Solve for x
    x = 425,599,664,400/299,757
  6. Step 6: Final answer
    x = 1,419,815.60

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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.