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Finding the Third Proportional to 218,548.50 and 475,552.50

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Solution

The third proportional to 218,548.50 and 475,552.50 is: 1,034,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,548.50 : 475,552.50 = 475,552.50 : x
  2. Step 2: Convert to fraction form
    218,548.50/475,552.50 = 475,552.50/x
  3. Step 3: Cross multiply
    218,548.50x = 475,552.50 × 475,552.50
  4. Step 4: Simplify right side
    218,548.50x = 226,150,180,256.25
  5. Step 5: Solve for x
    x = 226,150,180,256.25/218,548.50
  6. Step 6: Final answer
    x = 1,034,782.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.