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Finding the Third Proportional to 219,648 and 482,064

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Solution

The third proportional to 219,648 and 482,064 is: 1,057,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,648 : 482,064 = 482,064 : x
  2. Step 2: Convert to fraction form
    219,648/482,064 = 482,064/x
  3. Step 3: Cross multiply
    219,648x = 482,064 × 482,064
  4. Step 4: Simplify right side
    219,648x = 232,385,700,096
  5. Step 5: Solve for x
    x = 232,385,700,096/219,648
  6. Step 6: Final answer
    x = 1,057,991.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.