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Finding the Third Proportional to 728,297.44 and 1,102,568.63

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Solution

The third proportional to 728,297.44 and 1,102,568.63 is: 1,669,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,297.44 : 1,102,568.63 = 1,102,568.63 : x
  2. Step 2: Convert to fraction form
    728,297.44/1,102,568.63 = 1,102,568.63/x
  3. Step 3: Cross multiply
    728,297.44x = 1,102,568.63 × 1,102,568.63
  4. Step 4: Simplify right side
    728,297.44x = 1,215,657,572,834.39
  5. Step 5: Solve for x
    x = 1,215,657,572,834.39/728,297.44
  6. Step 6: Final answer
    x = 1,669,177.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.