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Finding the Third Proportional to 353,106 and 453,375

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Solution

The third proportional to 353,106 and 453,375 is: 582,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,106 : 453,375 = 453,375 : x
  2. Step 2: Convert to fraction form
    353,106/453,375 = 453,375/x
  3. Step 3: Cross multiply
    353,106x = 453,375 × 453,375
  4. Step 4: Simplify right side
    353,106x = 205,548,890,625
  5. Step 5: Solve for x
    x = 205,548,890,625/353,106
  6. Step 6: Final answer
    x = 582,116.67

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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.