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Finding the Third Proportional to 227,600 and 498,738

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Solution

The third proportional to 227,600 and 498,738 is: 1,092,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,600 : 498,738 = 498,738 : x
  2. Step 2: Convert to fraction form
    227,600/498,738 = 498,738/x
  3. Step 3: Cross multiply
    227,600x = 498,738 × 498,738
  4. Step 4: Simplify right side
    227,600x = 248,739,592,644
  5. Step 5: Solve for x
    x = 248,739,592,644/227,600
  6. Step 6: Final answer
    x = 1,092,880.46

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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.