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Finding the Third Proportional to 338,331 and 743,640

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Solution

The third proportional to 338,331 and 743,640 is: 1,634,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,331 : 743,640 = 743,640 : x
  2. Step 2: Convert to fraction form
    338,331/743,640 = 743,640/x
  3. Step 3: Cross multiply
    338,331x = 743,640 × 743,640
  4. Step 4: Simplify right side
    338,331x = 553,000,449,600
  5. Step 5: Solve for x
    x = 553,000,449,600/338,331
  6. Step 6: Final answer
    x = 1,634,495.36

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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.