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Finding the Third Proportional to 996.75 and 1,457.72

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Solution

The third proportional to 996.75 and 1,457.72 is: 2,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.75 : 1,457.72 = 1,457.72 : x
  2. Step 2: Convert to fraction form
    996.75/1,457.72 = 1,457.72/x
  3. Step 3: Cross multiply
    996.75x = 1,457.72 × 1,457.72
  4. Step 4: Simplify right side
    996.75x = 2,124,943.95
  5. Step 5: Solve for x
    x = 2,124,943.95/996.75
  6. Step 6: Final answer
    x = 2,131.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.