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Finding the Third Proportional to 305,781.75 and 690,837.19

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Solution

The third proportional to 305,781.75 and 690,837.19 is: 1,560,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,781.75 : 690,837.19 = 690,837.19 : x
  2. Step 2: Convert to fraction form
    305,781.75/690,837.19 = 690,837.19/x
  3. Step 3: Cross multiply
    305,781.75x = 690,837.19 × 690,837.19
  4. Step 4: Simplify right side
    305,781.75x = 477,256,019,632.91
  5. Step 5: Solve for x
    x = 477,256,019,632.91/305,781.75
  6. Step 6: Final answer
    x = 1,560,773.39

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.