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Finding the Third Proportional to 227,834 and 498,559

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Solution

The third proportional to 227,834 and 498,559 is: 1,090,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,834 : 498,559 = 498,559 : x
  2. Step 2: Convert to fraction form
    227,834/498,559 = 498,559/x
  3. Step 3: Cross multiply
    227,834x = 498,559 × 498,559
  4. Step 4: Simplify right side
    227,834x = 248,561,076,481
  5. Step 5: Solve for x
    x = 248,561,076,481/227,834
  6. Step 6: Final answer
    x = 1,090,974.47

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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.