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Finding the Third Proportional to 227,821 and 498,531

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Solution

The third proportional to 227,821 and 498,531 is: 1,090,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821 : 498,531 = 498,531 : x
  2. Step 2: Convert to fraction form
    227,821/498,531 = 498,531/x
  3. Step 3: Cross multiply
    227,821x = 498,531 × 498,531
  4. Step 4: Simplify right side
    227,821x = 248,533,157,961
  5. Step 5: Solve for x
    x = 248,533,157,961/227,821
  6. Step 6: Final answer
    x = 1,090,914.17

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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.