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Finding the Third Proportional to 452,847 and 666,146

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Solution

The third proportional to 452,847 and 666,146 is: 979,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,847 : 666,146 = 666,146 : x
  2. Step 2: Convert to fraction form
    452,847/666,146 = 666,146/x
  3. Step 3: Cross multiply
    452,847x = 666,146 × 666,146
  4. Step 4: Simplify right side
    452,847x = 443,750,493,316
  5. Step 5: Solve for x
    x = 443,750,493,316/452,847
  6. Step 6: Final answer
    x = 979,912.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.