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Finding the Third Proportional to 299,180.25 and 648,205.88

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Solution

The third proportional to 299,180.25 and 648,205.88 is: 1,404,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,180.25 : 648,205.88 = 648,205.88 : x
  2. Step 2: Convert to fraction form
    299,180.25/648,205.88 = 648,205.88/x
  3. Step 3: Cross multiply
    299,180.25x = 648,205.88 × 648,205.88
  4. Step 4: Simplify right side
    299,180.25x = 420,170,856,384.52
  5. Step 5: Solve for x
    x = 420,170,856,384.52/299,180.25
  6. Step 6: Final answer
    x = 1,404,407.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.