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Finding the Third Proportional to 191,384 and 447,018

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Solution

The third proportional to 191,384 and 447,018 is: 1,044,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,384 : 447,018 = 447,018 : x
  2. Step 2: Convert to fraction form
    191,384/447,018 = 447,018/x
  3. Step 3: Cross multiply
    191,384x = 447,018 × 447,018
  4. Step 4: Simplify right side
    191,384x = 199,825,092,324
  5. Step 5: Solve for x
    x = 199,825,092,324/191,384
  6. Step 6: Final answer
    x = 1,044,105.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.