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Finding the Third Proportional to 285,957 and 616,235.25

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Solution

The third proportional to 285,957 and 616,235.25 is: 1,327,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,957 : 616,235.25 = 616,235.25 : x
  2. Step 2: Convert to fraction form
    285,957/616,235.25 = 616,235.25/x
  3. Step 3: Cross multiply
    285,957x = 616,235.25 × 616,235.25
  4. Step 4: Simplify right side
    285,957x = 379,745,883,342.56
  5. Step 5: Solve for x
    x = 379,745,883,342.56/285,957
  6. Step 6: Final answer
    x = 1,327,982.47

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