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Finding the Third Proportional to 227,083.50 and 499,000.50

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Solution

The third proportional to 227,083.50 and 499,000.50 is: 1,096,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,083.50 : 499,000.50 = 499,000.50 : x
  2. Step 2: Convert to fraction form
    227,083.50/499,000.50 = 499,000.50/x
  3. Step 3: Cross multiply
    227,083.50x = 499,000.50 × 499,000.50
  4. Step 4: Simplify right side
    227,083.50x = 249,001,499,000.25
  5. Step 5: Solve for x
    x = 249,001,499,000.25/227,083.50
  6. Step 6: Final answer
    x = 1,096,519.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.