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Finding the Third Proportional to 237,076.88 and 513,519.75

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Solution

The third proportional to 237,076.88 and 513,519.75 is: 1,112,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,076.88 : 513,519.75 = 513,519.75 : x
  2. Step 2: Convert to fraction form
    237,076.88/513,519.75 = 513,519.75/x
  3. Step 3: Cross multiply
    237,076.88x = 513,519.75 × 513,519.75
  4. Step 4: Simplify right side
    237,076.88x = 263,702,533,640.06
  5. Step 5: Solve for x
    x = 263,702,533,640.06/237,076.88
  6. Step 6: Final answer
    x = 1,112,308.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.