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Finding the Third Proportional to 378,335.81 and 552,954.09

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Solution

The third proportional to 378,335.81 and 552,954.09 is: 808,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,335.81 : 552,954.09 = 552,954.09 : x
  2. Step 2: Convert to fraction form
    378,335.81/552,954.09 = 552,954.09/x
  3. Step 3: Cross multiply
    378,335.81x = 552,954.09 × 552,954.09
  4. Step 4: Simplify right side
    378,335.81x = 305,758,229,794.88
  5. Step 5: Solve for x
    x = 305,758,229,794.88/378,335.81
  6. Step 6: Final answer
    x = 808,166.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.