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Finding the Third Proportional to 227,670.75 and 499,628.25

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Solution

The third proportional to 227,670.75 and 499,628.25 is: 1,096,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,670.75 : 499,628.25 = 499,628.25 : x
  2. Step 2: Convert to fraction form
    227,670.75/499,628.25 = 499,628.25/x
  3. Step 3: Cross multiply
    227,670.75x = 499,628.25 × 499,628.25
  4. Step 4: Simplify right side
    227,670.75x = 249,628,388,198.06
  5. Step 5: Solve for x
    x = 249,628,388,198.06/227,670.75
  6. Step 6: Final answer
    x = 1,096,444.70

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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.