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Finding the Third Proportional to 353,084.63 and 453,351.38

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Solution

The third proportional to 353,084.63 and 453,351.38 is: 582,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,084.63 : 453,351.38 = 453,351.38 : x
  2. Step 2: Convert to fraction form
    353,084.63/453,351.38 = 453,351.38/x
  3. Step 3: Cross multiply
    353,084.63x = 453,351.38 × 453,351.38
  4. Step 4: Simplify right side
    353,084.63x = 205,527,469,214.39
  5. Step 5: Solve for x
    x = 205,527,469,214.39/353,084.63
  6. Step 6: Final answer
    x = 582,091.25

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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.