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Finding the Third Proportional to 749.81 and 1,405.97

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Solution

The third proportional to 749.81 and 1,405.97 is: 2,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.81 : 1,405.97 = 1,405.97 : x
  2. Step 2: Convert to fraction form
    749.81/1,405.97 = 1,405.97/x
  3. Step 3: Cross multiply
    749.81x = 1,405.97 × 1,405.97
  4. Step 4: Simplify right side
    749.81x = 1,976,748.13
  5. Step 5: Solve for x
    x = 1,976,748.13/749.81
  6. Step 6: Final answer
    x = 2,636.32

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.