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Finding the Third Proportional to 222,465 and 479,925

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Solution

The third proportional to 222,465 and 479,925 is: 1,035,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,465 : 479,925 = 479,925 : x
  2. Step 2: Convert to fraction form
    222,465/479,925 = 479,925/x
  3. Step 3: Cross multiply
    222,465x = 479,925 × 479,925
  4. Step 4: Simplify right side
    222,465x = 230,328,005,625
  5. Step 5: Solve for x
    x = 230,328,005,625/222,465
  6. Step 6: Final answer
    x = 1,035,344.91

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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.