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Finding the Third Proportional to 270,196 and 394,872

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Solution

The third proportional to 270,196 and 394,872 is: 577,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,196 : 394,872 = 394,872 : x
  2. Step 2: Convert to fraction form
    270,196/394,872 = 394,872/x
  3. Step 3: Cross multiply
    270,196x = 394,872 × 394,872
  4. Step 4: Simplify right side
    270,196x = 155,923,896,384
  5. Step 5: Solve for x
    x = 155,923,896,384/270,196
  6. Step 6: Final answer
    x = 577,077.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.