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Finding the Third Proportional to 1,507.78 and 2,799.56

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Solution

The third proportional to 1,507.78 and 2,799.56 is: 5,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.78 : 2,799.56 = 2,799.56 : x
  2. Step 2: Convert to fraction form
    1,507.78/2,799.56 = 2,799.56/x
  3. Step 3: Cross multiply
    1,507.78x = 2,799.56 × 2,799.56
  4. Step 4: Simplify right side
    1,507.78x = 7,837,550.19
  5. Step 5: Solve for x
    x = 7,837,550.19/1,507.78
  6. Step 6: Final answer
    x = 5,198.07

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.