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Finding the Third Proportional to 620.79 and 1,342.83

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Solution

The third proportional to 620.79 and 1,342.83 is: 2,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.79 : 1,342.83 = 1,342.83 : x
  2. Step 2: Convert to fraction form
    620.79/1,342.83 = 1,342.83/x
  3. Step 3: Cross multiply
    620.79x = 1,342.83 × 1,342.83
  4. Step 4: Simplify right side
    620.79x = 1,803,187.37
  5. Step 5: Solve for x
    x = 1,803,187.37/620.79
  6. Step 6: Final answer
    x = 2,904.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.