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Finding the Third Proportional to 285,600.94 and 440,786.81

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Solution

The third proportional to 285,600.94 and 440,786.81 is: 680,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,600.94 : 440,786.81 = 440,786.81 : x
  2. Step 2: Convert to fraction form
    285,600.94/440,786.81 = 440,786.81/x
  3. Step 3: Cross multiply
    285,600.94x = 440,786.81 × 440,786.81
  4. Step 4: Simplify right side
    285,600.94x = 194,293,014,073.91
  5. Step 5: Solve for x
    x = 194,293,014,073.91/285,600.94
  6. Step 6: Final answer
    x = 680,295.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.