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Finding the Third Proportional to 296,938.25 and 648,325

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Solution

The third proportional to 296,938.25 and 648,325 is: 1,415,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,938.25 : 648,325 = 648,325 : x
  2. Step 2: Convert to fraction form
    296,938.25/648,325 = 648,325/x
  3. Step 3: Cross multiply
    296,938.25x = 648,325 × 648,325
  4. Step 4: Simplify right side
    296,938.25x = 420,325,305,625
  5. Step 5: Solve for x
    x = 420,325,305,625/296,938.25
  6. Step 6: Final answer
    x = 1,415,531.03

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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.