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Finding the Third Proportional to 284,976.56 and 444,717.84

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Solution

The third proportional to 284,976.56 and 444,717.84 is: 694,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,976.56 : 444,717.84 = 444,717.84 : x
  2. Step 2: Convert to fraction form
    284,976.56/444,717.84 = 444,717.84/x
  3. Step 3: Cross multiply
    284,976.56x = 444,717.84 × 444,717.84
  4. Step 4: Simplify right side
    284,976.56x = 197,773,960,549.65
  5. Step 5: Solve for x
    x = 197,773,960,549.65/284,976.56
  6. Step 6: Final answer
    x = 694,000.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.