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Finding the Third Proportional to 222,064 and 479,576

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Solution

The third proportional to 222,064 and 479,576 is: 1,035,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,064 : 479,576 = 479,576 : x
  2. Step 2: Convert to fraction form
    222,064/479,576 = 479,576/x
  3. Step 3: Cross multiply
    222,064x = 479,576 × 479,576
  4. Step 4: Simplify right side
    222,064x = 229,993,139,776
  5. Step 5: Solve for x
    x = 229,993,139,776/222,064
  6. Step 6: Final answer
    x = 1,035,706.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.