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Finding the Third Proportional to 227,716.88 and 499,719.38

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Solution

The third proportional to 227,716.88 and 499,719.38 is: 1,096,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,716.88 : 499,719.38 = 499,719.38 : x
  2. Step 2: Convert to fraction form
    227,716.88/499,719.38 = 499,719.38/x
  3. Step 3: Cross multiply
    227,716.88x = 499,719.38 × 499,719.38
  4. Step 4: Simplify right side
    227,716.88x = 249,719,453,750.39
  5. Step 5: Solve for x
    x = 249,719,453,750.39/227,716.88
  6. Step 6: Final answer
    x = 1,096,622.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.