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Finding the Third Proportional to 207,818 and 451,060

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Solution

The third proportional to 207,818 and 451,060 is: 979,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,818 : 451,060 = 451,060 : x
  2. Step 2: Convert to fraction form
    207,818/451,060 = 451,060/x
  3. Step 3: Cross multiply
    207,818x = 451,060 × 451,060
  4. Step 4: Simplify right side
    207,818x = 203,455,123,600
  5. Step 5: Solve for x
    x = 203,455,123,600/207,818
  6. Step 6: Final answer
    x = 979,006.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.