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Finding the Third Proportional to 712.83 and 1,359.56

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Solution

The third proportional to 712.83 and 1,359.56 is: 2,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 1,359.56 = 1,359.56 : x
  2. Step 2: Convert to fraction form
    712.83/1,359.56 = 1,359.56/x
  3. Step 3: Cross multiply
    712.83x = 1,359.56 × 1,359.56
  4. Step 4: Simplify right side
    712.83x = 1,848,410.19
  5. Step 5: Solve for x
    x = 1,848,410.19/712.83
  6. Step 6: Final answer
    x = 2,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.