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Finding the Third Proportional to 993.97 and 1,460.56

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Solution

The third proportional to 993.97 and 1,460.56 is: 2,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.97 : 1,460.56 = 1,460.56 : x
  2. Step 2: Convert to fraction form
    993.97/1,460.56 = 1,460.56/x
  3. Step 3: Cross multiply
    993.97x = 1,460.56 × 1,460.56
  4. Step 4: Simplify right side
    993.97x = 2,133,242.82
  5. Step 5: Solve for x
    x = 2,133,242.82/993.97
  6. Step 6: Final answer
    x = 2,146.19

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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.