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Finding the Third Proportional to 230,662.13 and 499,231.69

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Solution

The third proportional to 230,662.13 and 499,231.69 is: 1,080,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,662.13 : 499,231.69 = 499,231.69 : x
  2. Step 2: Convert to fraction form
    230,662.13/499,231.69 = 499,231.69/x
  3. Step 3: Cross multiply
    230,662.13x = 499,231.69 × 499,231.69
  4. Step 4: Simplify right side
    230,662.13x = 249,232,277,804.10
  5. Step 5: Solve for x
    x = 249,232,277,804.10/230,662.13
  6. Step 6: Final answer
    x = 1,080,508.03

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Why These Related Problems?

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