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Finding the Third Proportional to 353,135 and 453,414

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Solution

The third proportional to 353,135 and 453,414 is: 582,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,135 : 453,414 = 453,414 : x
  2. Step 2: Convert to fraction form
    353,135/453,414 = 453,414/x
  3. Step 3: Cross multiply
    353,135x = 453,414 × 453,414
  4. Step 4: Simplify right side
    353,135x = 205,584,255,396
  5. Step 5: Solve for x
    x = 205,584,255,396/353,135
  6. Step 6: Final answer
    x = 582,169.02

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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.