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Finding the Third Proportional to 261,224 and 533,517

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Solution

The third proportional to 261,224 and 533,517 is: 1,089,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,224 : 533,517 = 533,517 : x
  2. Step 2: Convert to fraction form
    261,224/533,517 = 533,517/x
  3. Step 3: Cross multiply
    261,224x = 533,517 × 533,517
  4. Step 4: Simplify right side
    261,224x = 284,640,389,289
  5. Step 5: Solve for x
    x = 284,640,389,289/261,224
  6. Step 6: Final answer
    x = 1,089,641.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.