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Finding the Third Proportional to 250,575.75 and 525,755.25

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Solution

The third proportional to 250,575.75 and 525,755.25 is: 1,103,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,575.75 : 525,755.25 = 525,755.25 : x
  2. Step 2: Convert to fraction form
    250,575.75/525,755.25 = 525,755.25/x
  3. Step 3: Cross multiply
    250,575.75x = 525,755.25 × 525,755.25
  4. Step 4: Simplify right side
    250,575.75x = 276,418,582,902.56
  5. Step 5: Solve for x
    x = 276,418,582,902.56/250,575.75
  6. Step 6: Final answer
    x = 1,103,133.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.