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Finding the Third Proportional to 498,252 and 773,625

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Solution

The third proportional to 498,252 and 773,625 is: 1,201,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,252 : 773,625 = 773,625 : x
  2. Step 2: Convert to fraction form
    498,252/773,625 = 773,625/x
  3. Step 3: Cross multiply
    498,252x = 773,625 × 773,625
  4. Step 4: Simplify right side
    498,252x = 598,495,640,625
  5. Step 5: Solve for x
    x = 598,495,640,625/498,252
  6. Step 6: Final answer
    x = 1,201,190.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.