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Finding the Third Proportional to 227,751.75 and 499,790.25

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Solution

The third proportional to 227,751.75 and 499,790.25 is: 1,096,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,751.75 : 499,790.25 = 499,790.25 : x
  2. Step 2: Convert to fraction form
    227,751.75/499,790.25 = 499,790.25/x
  3. Step 3: Cross multiply
    227,751.75x = 499,790.25 × 499,790.25
  4. Step 4: Simplify right side
    227,751.75x = 249,790,293,995.06
  5. Step 5: Solve for x
    x = 249,790,293,995.06/227,751.75
  6. Step 6: Final answer
    x = 1,096,765.64

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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.