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Finding the Third Proportional to 361,970 and 795,324

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Solution

The third proportional to 361,970 and 795,324 is: 1,747,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,970 : 795,324 = 795,324 : x
  2. Step 2: Convert to fraction form
    361,970/795,324 = 795,324/x
  3. Step 3: Cross multiply
    361,970x = 795,324 × 795,324
  4. Step 4: Simplify right side
    361,970x = 632,540,264,976
  5. Step 5: Solve for x
    x = 632,540,264,976/361,970
  6. Step 6: Final answer
    x = 1,747,493.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.