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Finding the Third Proportional to 224,933.63 and 475,152.75

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Solution

The third proportional to 224,933.63 and 475,152.75 is: 1,003,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,933.63 : 475,152.75 = 475,152.75 : x
  2. Step 2: Convert to fraction form
    224,933.63/475,152.75 = 475,152.75/x
  3. Step 3: Cross multiply
    224,933.63x = 475,152.75 × 475,152.75
  4. Step 4: Simplify right side
    224,933.63x = 225,770,135,832.56
  5. Step 5: Solve for x
    x = 225,770,135,832.56/224,933.63
  6. Step 6: Final answer
    x = 1,003,718.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.