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Finding the Third Proportional to 330,500.25 and 722,601

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Solution

The third proportional to 330,500.25 and 722,601 is: 1,579,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,500.25 : 722,601 = 722,601 : x
  2. Step 2: Convert to fraction form
    330,500.25/722,601 = 722,601/x
  3. Step 3: Cross multiply
    330,500.25x = 722,601 × 722,601
  4. Step 4: Simplify right side
    330,500.25x = 522,152,205,201
  5. Step 5: Solve for x
    x = 522,152,205,201/330,500.25
  6. Step 6: Final answer
    x = 1,579,884.45

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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.