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Finding the Third Proportional to 285,793.75 and 417,961

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Solution

The third proportional to 285,793.75 and 417,961 is: 611,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,793.75 : 417,961 = 417,961 : x
  2. Step 2: Convert to fraction form
    285,793.75/417,961 = 417,961/x
  3. Step 3: Cross multiply
    285,793.75x = 417,961 × 417,961
  4. Step 4: Simplify right side
    285,793.75x = 174,691,397,521
  5. Step 5: Solve for x
    x = 174,691,397,521/285,793.75
  6. Step 6: Final answer
    x = 611,249.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.