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Finding the Third Proportional to 227,665.13 and 499,617

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Solution

The third proportional to 227,665.13 and 499,617 is: 1,096,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,665.13 : 499,617 = 499,617 : x
  2. Step 2: Convert to fraction form
    227,665.13/499,617 = 499,617/x
  3. Step 3: Cross multiply
    227,665.13x = 499,617 × 499,617
  4. Step 4: Simplify right side
    227,665.13x = 249,617,146,689
  5. Step 5: Solve for x
    x = 249,617,146,689/227,665.13
  6. Step 6: Final answer
    x = 1,096,422.42

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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.