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Finding the Third Proportional to 606.56 and 1,407.56

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Solution

The third proportional to 606.56 and 1,407.56 is: 3,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.56 : 1,407.56 = 1,407.56 : x
  2. Step 2: Convert to fraction form
    606.56/1,407.56 = 1,407.56/x
  3. Step 3: Cross multiply
    606.56x = 1,407.56 × 1,407.56
  4. Step 4: Simplify right side
    606.56x = 1,981,232.19
  5. Step 5: Solve for x
    x = 1,981,232.19/606.56
  6. Step 6: Final answer
    x = 3,266.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.