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Finding the Third Proportional to 230,665.50 and 499,238.63

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Solution

The third proportional to 230,665.50 and 499,238.63 is: 1,080,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,665.50 : 499,238.63 = 499,238.63 : x
  2. Step 2: Convert to fraction form
    230,665.50/499,238.63 = 499,238.63/x
  3. Step 3: Cross multiply
    230,665.50x = 499,238.63 × 499,238.63
  4. Step 4: Simplify right side
    230,665.50x = 249,239,204,691.89
  5. Step 5: Solve for x
    x = 249,239,204,691.89/230,665.50
  6. Step 6: Final answer
    x = 1,080,522.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.