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Finding the Third Proportional to 337,549 and 796,817

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Solution

The third proportional to 337,549 and 796,817 is: 1,880,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,549 : 796,817 = 796,817 : x
  2. Step 2: Convert to fraction form
    337,549/796,817 = 796,817/x
  3. Step 3: Cross multiply
    337,549x = 796,817 × 796,817
  4. Step 4: Simplify right side
    337,549x = 634,917,331,489
  5. Step 5: Solve for x
    x = 634,917,331,489/337,549
  6. Step 6: Final answer
    x = 1,880,963.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.