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Finding the Third Proportional to 227,802 and 498,500

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Solution

The third proportional to 227,802 and 498,500 is: 1,090,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,802 : 498,500 = 498,500 : x
  2. Step 2: Convert to fraction form
    227,802/498,500 = 498,500/x
  3. Step 3: Cross multiply
    227,802x = 498,500 × 498,500
  4. Step 4: Simplify right side
    227,802x = 248,502,250,000
  5. Step 5: Solve for x
    x = 248,502,250,000/227,802
  6. Step 6: Final answer
    x = 1,090,869.48

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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.