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Finding the Third Proportional to 996.56 and 1,464.47

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Solution

The third proportional to 996.56 and 1,464.47 is: 2,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.56 : 1,464.47 = 1,464.47 : x
  2. Step 2: Convert to fraction form
    996.56/1,464.47 = 1,464.47/x
  3. Step 3: Cross multiply
    996.56x = 1,464.47 × 1,464.47
  4. Step 4: Simplify right side
    996.56x = 2,144,668.72
  5. Step 5: Solve for x
    x = 2,144,668.72/996.56
  6. Step 6: Final answer
    x = 2,152.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.