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Finding the Third Proportional to 606.30 and 842.48

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Solution

The third proportional to 606.30 and 842.48 is: 1,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 842.48 = 842.48 : x
  2. Step 2: Convert to fraction form
    606.30/842.48 = 842.48/x
  3. Step 3: Cross multiply
    606.30x = 842.48 × 842.48
  4. Step 4: Simplify right side
    606.30x = 709,779.92
  5. Step 5: Solve for x
    x = 709,779.92/606.30
  6. Step 6: Final answer
    x = 1,170.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.