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Finding the Third Proportional to 227,746.69 and 498,396.38

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Solution

The third proportional to 227,746.69 and 498,396.38 is: 1,090,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,746.69 : 498,396.38 = 498,396.38 : x
  2. Step 2: Convert to fraction form
    227,746.69/498,396.38 = 498,396.38/x
  3. Step 3: Cross multiply
    227,746.69x = 498,396.38 × 498,396.38
  4. Step 4: Simplify right side
    227,746.69x = 248,398,946,613.14
  5. Step 5: Solve for x
    x = 248,398,946,613.14/227,746.69
  6. Step 6: Final answer
    x = 1,090,680.83

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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.