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Finding the Third Proportional to 237,552.75 and 512,451.56

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Solution

The third proportional to 237,552.75 and 512,451.56 is: 1,105,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,552.75 : 512,451.56 = 512,451.56 : x
  2. Step 2: Convert to fraction form
    237,552.75/512,451.56 = 512,451.56/x
  3. Step 3: Cross multiply
    237,552.75x = 512,451.56 × 512,451.56
  4. Step 4: Simplify right side
    237,552.75x = 262,606,603,908.69
  5. Step 5: Solve for x
    x = 262,606,603,908.69/237,552.75
  6. Step 6: Final answer
    x = 1,105,466.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.