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Finding the Third Proportional to 261,215.44 and 533,499.75

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Solution

The third proportional to 261,215.44 and 533,499.75 is: 1,089,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,215.44 : 533,499.75 = 533,499.75 : x
  2. Step 2: Convert to fraction form
    261,215.44/533,499.75 = 533,499.75/x
  3. Step 3: Cross multiply
    261,215.44x = 533,499.75 × 533,499.75
  4. Step 4: Simplify right side
    261,215.44x = 284,621,983,250.06
  5. Step 5: Solve for x
    x = 284,621,983,250.06/261,215.44
  6. Step 6: Final answer
    x = 1,089,606.29

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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.