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Finding the Third Proportional to 366,298 and 771,956

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Solution

The third proportional to 366,298 and 771,956 is: 1,626,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,298 : 771,956 = 771,956 : x
  2. Step 2: Convert to fraction form
    366,298/771,956 = 771,956/x
  3. Step 3: Cross multiply
    366,298x = 771,956 × 771,956
  4. Step 4: Simplify right side
    366,298x = 595,916,065,936
  5. Step 5: Solve for x
    x = 595,916,065,936/366,298
  6. Step 6: Final answer
    x = 1,626,861.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.