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Finding the Third Proportional to 201,838.50 and 475,790.06

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Solution

The third proportional to 201,838.50 and 475,790.06 is: 1,121,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.50 : 475,790.06 = 475,790.06 : x
  2. Step 2: Convert to fraction form
    201,838.50/475,790.06 = 475,790.06/x
  3. Step 3: Cross multiply
    201,838.50x = 475,790.06 × 475,790.06
  4. Step 4: Simplify right side
    201,838.50x = 226,376,183,573.75
  5. Step 5: Solve for x
    x = 226,376,183,573.75/201,838.50
  6. Step 6: Final answer
    x = 1,121,570.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.