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Finding the Third Proportional to 230,770.69 and 498,448.69

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Solution

The third proportional to 230,770.69 and 498,448.69 is: 1,076,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,770.69 : 498,448.69 = 498,448.69 : x
  2. Step 2: Convert to fraction form
    230,770.69/498,448.69 = 498,448.69/x
  3. Step 3: Cross multiply
    230,770.69x = 498,448.69 × 498,448.69
  4. Step 4: Simplify right side
    230,770.69x = 248,451,094,070.47
  5. Step 5: Solve for x
    x = 248,451,094,070.47/230,770.69
  6. Step 6: Final answer
    x = 1,076,614.61

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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.