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Finding the Third Proportional to 1,719.98 and 2,723.78

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Solution

The third proportional to 1,719.98 and 2,723.78 is: 4,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.98 : 2,723.78 = 2,723.78 : x
  2. Step 2: Convert to fraction form
    1,719.98/2,723.78 = 2,723.78/x
  3. Step 3: Cross multiply
    1,719.98x = 2,723.78 × 2,723.78
  4. Step 4: Simplify right side
    1,719.98x = 7,418,994.94
  5. Step 5: Solve for x
    x = 7,418,994.94/1,719.98
  6. Step 6: Final answer
    x = 4,313.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.