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Finding the Third Proportional to 285,956.25 and 616,233.38

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Solution

The third proportional to 285,956.25 and 616,233.38 is: 1,327,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,956.25 : 616,233.38 = 616,233.38 : x
  2. Step 2: Convert to fraction form
    285,956.25/616,233.38 = 616,233.38/x
  3. Step 3: Cross multiply
    285,956.25x = 616,233.38 × 616,233.38
  4. Step 4: Simplify right side
    285,956.25x = 379,743,572,463.89
  5. Step 5: Solve for x
    x = 379,743,572,463.89/285,956.25
  6. Step 6: Final answer
    x = 1,327,977.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.