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Finding the Third Proportional to 338,878.13 and 733,546.88

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Solution

The third proportional to 338,878.13 and 733,546.88 is: 1,587,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,878.13 : 733,546.88 = 733,546.88 : x
  2. Step 2: Convert to fraction form
    338,878.13/733,546.88 = 733,546.88/x
  3. Step 3: Cross multiply
    338,878.13x = 733,546.88 × 733,546.88
  4. Step 4: Simplify right side
    338,878.13x = 538,091,017,822.27
  5. Step 5: Solve for x
    x = 538,091,017,822.27/338,878.13
  6. Step 6: Final answer
    x = 1,587,859.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.