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Finding the Third Proportional to 191,392 and 447,040

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Solution

The third proportional to 191,392 and 447,040 is: 1,044,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,392 : 447,040 = 447,040 : x
  2. Step 2: Convert to fraction form
    191,392/447,040 = 447,040/x
  3. Step 3: Cross multiply
    191,392x = 447,040 × 447,040
  4. Step 4: Simplify right side
    191,392x = 199,844,761,600
  5. Step 5: Solve for x
    x = 199,844,761,600/191,392
  6. Step 6: Final answer
    x = 1,044,164.65

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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.