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Finding the Third Proportional to 674,279.44 and 948,489.75

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Solution

The third proportional to 674,279.44 and 948,489.75 is: 1,334,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,279.44 : 948,489.75 = 948,489.75 : x
  2. Step 2: Convert to fraction form
    674,279.44/948,489.75 = 948,489.75/x
  3. Step 3: Cross multiply
    674,279.44x = 948,489.75 × 948,489.75
  4. Step 4: Simplify right side
    674,279.44x = 899,632,805,855.06
  5. Step 5: Solve for x
    x = 899,632,805,855.06/674,279.44
  6. Step 6: Final answer
    x = 1,334,213.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.