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Finding the Third Proportional to 423.06 and 700.94

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Solution

The third proportional to 423.06 and 700.94 is: 1,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 700.94 = 700.94 : x
  2. Step 2: Convert to fraction form
    423.06/700.94 = 700.94/x
  3. Step 3: Cross multiply
    423.06x = 700.94 × 700.94
  4. Step 4: Simplify right side
    423.06x = 491,313.38
  5. Step 5: Solve for x
    x = 491,313.38/423.06
  6. Step 6: Final answer
    x = 1,161.33

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.