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Finding the Third Proportional to 285,504 and 444,064

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Solution

The third proportional to 285,504 and 444,064 is: 690,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,504 : 444,064 = 444,064 : x
  2. Step 2: Convert to fraction form
    285,504/444,064 = 444,064/x
  3. Step 3: Cross multiply
    285,504x = 444,064 × 444,064
  4. Step 4: Simplify right side
    285,504x = 197,192,836,096
  5. Step 5: Solve for x
    x = 197,192,836,096/285,504
  6. Step 6: Final answer
    x = 690,683.27

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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.