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Finding the Third Proportional to 222,457.50 and 479,907

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Solution

The third proportional to 222,457.50 and 479,907 is: 1,035,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,457.50 : 479,907 = 479,907 : x
  2. Step 2: Convert to fraction form
    222,457.50/479,907 = 479,907/x
  3. Step 3: Cross multiply
    222,457.50x = 479,907 × 479,907
  4. Step 4: Simplify right side
    222,457.50x = 230,310,728,649
  5. Step 5: Solve for x
    x = 230,310,728,649/222,457.50
  6. Step 6: Final answer
    x = 1,035,302.15

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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.