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Finding the Third Proportional to 795.14 and 1,201.03

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Solution

The third proportional to 795.14 and 1,201.03 is: 1,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.14 : 1,201.03 = 1,201.03 : x
  2. Step 2: Convert to fraction form
    795.14/1,201.03 = 1,201.03/x
  3. Step 3: Cross multiply
    795.14x = 1,201.03 × 1,201.03
  4. Step 4: Simplify right side
    795.14x = 1,442,476.06
  5. Step 5: Solve for x
    x = 1,442,476.06/795.14
  6. Step 6: Final answer
    x = 1,814.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.