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Finding the Third Proportional to 354,326 and 538,049

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Solution

The third proportional to 354,326 and 538,049 is: 817,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,326 : 538,049 = 538,049 : x
  2. Step 2: Convert to fraction form
    354,326/538,049 = 538,049/x
  3. Step 3: Cross multiply
    354,326x = 538,049 × 538,049
  4. Step 4: Simplify right side
    354,326x = 289,496,726,401
  5. Step 5: Solve for x
    x = 289,496,726,401/354,326
  6. Step 6: Final answer
    x = 817,034.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.