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Finding the Third Proportional to 228,117.09 and 496,369.69

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Solution

The third proportional to 228,117.09 and 496,369.69 is: 1,080,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,117.09 : 496,369.69 = 496,369.69 : x
  2. Step 2: Convert to fraction form
    228,117.09/496,369.69 = 496,369.69/x
  3. Step 3: Cross multiply
    228,117.09x = 496,369.69 × 496,369.69
  4. Step 4: Simplify right side
    228,117.09x = 246,382,866,668.85
  5. Step 5: Solve for x
    x = 246,382,866,668.85/228,117.09
  6. Step 6: Final answer
    x = 1,080,071.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.