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Finding the Third Proportional to 353,089 and 453,357

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Solution

The third proportional to 353,089 and 453,357 is: 582,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,089 : 453,357 = 453,357 : x
  2. Step 2: Convert to fraction form
    353,089/453,357 = 453,357/x
  3. Step 3: Cross multiply
    353,089x = 453,357 × 453,357
  4. Step 4: Simplify right side
    353,089x = 205,532,569,449
  5. Step 5: Solve for x
    x = 205,532,569,449/353,089
  6. Step 6: Final answer
    x = 582,098.48

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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.