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Finding the Third Proportional to 224,481 and 493,242

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Solution

The third proportional to 224,481 and 493,242 is: 1,083,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,481 : 493,242 = 493,242 : x
  2. Step 2: Convert to fraction form
    224,481/493,242 = 493,242/x
  3. Step 3: Cross multiply
    224,481x = 493,242 × 493,242
  4. Step 4: Simplify right side
    224,481x = 243,287,670,564
  5. Step 5: Solve for x
    x = 243,287,670,564/224,481
  6. Step 6: Final answer
    x = 1,083,778.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.