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Finding the Third Proportional to 261,213.38 and 533,496.75

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Solution

The third proportional to 261,213.38 and 533,496.75 is: 1,089,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,213.38 : 533,496.75 = 533,496.75 : x
  2. Step 2: Convert to fraction form
    261,213.38/533,496.75 = 533,496.75/x
  3. Step 3: Cross multiply
    261,213.38x = 533,496.75 × 533,496.75
  4. Step 4: Simplify right side
    261,213.38x = 284,618,782,260.56
  5. Step 5: Solve for x
    x = 284,618,782,260.56/261,213.38
  6. Step 6: Final answer
    x = 1,089,602.64

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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.