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Finding the Third Proportional to 445,728 and 644,000

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Solution

The third proportional to 445,728 and 644,000 is: 930,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,728 : 644,000 = 644,000 : x
  2. Step 2: Convert to fraction form
    445,728/644,000 = 644,000/x
  3. Step 3: Cross multiply
    445,728x = 644,000 × 644,000
  4. Step 4: Simplify right side
    445,728x = 414,736,000,000
  5. Step 5: Solve for x
    x = 414,736,000,000/445,728
  6. Step 6: Final answer
    x = 930,468.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.