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Finding the Third Proportional to 250,512.75 and 525,642.75

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Solution

The third proportional to 250,512.75 and 525,642.75 is: 1,102,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,512.75 : 525,642.75 = 525,642.75 : x
  2. Step 2: Convert to fraction form
    250,512.75/525,642.75 = 525,642.75/x
  3. Step 3: Cross multiply
    250,512.75x = 525,642.75 × 525,642.75
  4. Step 4: Simplify right side
    250,512.75x = 276,300,300,627.56
  5. Step 5: Solve for x
    x = 276,300,300,627.56/250,512.75
  6. Step 6: Final answer
    x = 1,102,939.07

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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.