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Finding the Third Proportional to 353,151 and 453,438

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Solution

The third proportional to 353,151 and 453,438 is: 582,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,151 : 453,438 = 453,438 : x
  2. Step 2: Convert to fraction form
    353,151/453,438 = 453,438/x
  3. Step 3: Cross multiply
    353,151x = 453,438 × 453,438
  4. Step 4: Simplify right side
    353,151x = 205,606,019,844
  5. Step 5: Solve for x
    x = 205,606,019,844/353,151
  6. Step 6: Final answer
    x = 582,204.27

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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.