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Finding the Third Proportional to 353,193.75 and 453,512.25

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Solution

The third proportional to 353,193.75 and 453,512.25 is: 582,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,193.75 : 453,512.25 = 453,512.25 : x
  2. Step 2: Convert to fraction form
    353,193.75/453,512.25 = 453,512.25/x
  3. Step 3: Cross multiply
    353,193.75x = 453,512.25 × 453,512.25
  4. Step 4: Simplify right side
    353,193.75x = 205,673,360,900.06
  5. Step 5: Solve for x
    x = 205,673,360,900.06/353,193.75
  6. Step 6: Final answer
    x = 582,324.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.