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Finding the Third Proportional to 197,901 and 402,714

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Solution

The third proportional to 197,901 and 402,714 is: 819,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,901 : 402,714 = 402,714 : x
  2. Step 2: Convert to fraction form
    197,901/402,714 = 402,714/x
  3. Step 3: Cross multiply
    197,901x = 402,714 × 402,714
  4. Step 4: Simplify right side
    197,901x = 162,178,565,796
  5. Step 5: Solve for x
    x = 162,178,565,796/197,901
  6. Step 6: Final answer
    x = 819,493.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.