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Finding the Third Proportional to 353,084 and 453,351

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Solution

The third proportional to 353,084 and 453,351 is: 582,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,084 : 453,351 = 453,351 : x
  2. Step 2: Convert to fraction form
    353,084/453,351 = 453,351/x
  3. Step 3: Cross multiply
    353,084x = 453,351 × 453,351
  4. Step 4: Simplify right side
    353,084x = 205,527,129,201
  5. Step 5: Solve for x
    x = 205,527,129,201/353,084
  6. Step 6: Final answer
    x = 582,091.31

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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.