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Finding the Third Proportional to 227,044 and 493,384

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Solution

The third proportional to 227,044 and 493,384 is: 1,072,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,044 : 493,384 = 493,384 : x
  2. Step 2: Convert to fraction form
    227,044/493,384 = 493,384/x
  3. Step 3: Cross multiply
    227,044x = 493,384 × 493,384
  4. Step 4: Simplify right side
    227,044x = 243,427,771,456
  5. Step 5: Solve for x
    x = 243,427,771,456/227,044
  6. Step 6: Final answer
    x = 1,072,161.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.