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Finding the Third Proportional to 299,188 and 654,692

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Solution

The third proportional to 299,188 and 654,692 is: 1,432,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,188 : 654,692 = 654,692 : x
  2. Step 2: Convert to fraction form
    299,188/654,692 = 654,692/x
  3. Step 3: Cross multiply
    299,188x = 654,692 × 654,692
  4. Step 4: Simplify right side
    299,188x = 428,621,614,864
  5. Step 5: Solve for x
    x = 428,621,614,864/299,188
  6. Step 6: Final answer
    x = 1,432,616.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.