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Finding the Third Proportional to 222,314.63 and 494,368.31

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Solution

The third proportional to 222,314.63 and 494,368.31 is: 1,099,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,314.63 : 494,368.31 = 494,368.31 : x
  2. Step 2: Convert to fraction form
    222,314.63/494,368.31 = 494,368.31/x
  3. Step 3: Cross multiply
    222,314.63x = 494,368.31 × 494,368.31
  4. Step 4: Simplify right side
    222,314.63x = 244,400,028,404.10
  5. Step 5: Solve for x
    x = 244,400,028,404.10/222,314.63
  6. Step 6: Final answer
    x = 1,099,343.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.