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Finding the Third Proportional to 227,738 and 499,828

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Solution

The third proportional to 227,738 and 499,828 is: 1,096,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,738 : 499,828 = 499,828 : x
  2. Step 2: Convert to fraction form
    227,738/499,828 = 499,828/x
  3. Step 3: Cross multiply
    227,738x = 499,828 × 499,828
  4. Step 4: Simplify right side
    227,738x = 249,828,029,584
  5. Step 5: Solve for x
    x = 249,828,029,584/227,738
  6. Step 6: Final answer
    x = 1,096,997.56

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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.