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Finding the Third Proportional to 996.47 and 1,464.75

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Solution

The third proportional to 996.47 and 1,464.75 is: 2,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.47 : 1,464.75 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    996.47/1,464.75 = 1,464.75/x
  3. Step 3: Cross multiply
    996.47x = 1,464.75 × 1,464.75
  4. Step 4: Simplify right side
    996.47x = 2,145,492.56
  5. Step 5: Solve for x
    x = 2,145,492.56/996.47
  6. Step 6: Final answer
    x = 2,153.10

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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.