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Finding the Third Proportional to 373,781 and 796,495

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Solution

The third proportional to 373,781 and 796,495 is: 1,697,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,781 : 796,495 = 796,495 : x
  2. Step 2: Convert to fraction form
    373,781/796,495 = 796,495/x
  3. Step 3: Cross multiply
    373,781x = 796,495 × 796,495
  4. Step 4: Simplify right side
    373,781x = 634,404,285,025
  5. Step 5: Solve for x
    x = 634,404,285,025/373,781
  6. Step 6: Final answer
    x = 1,697,261.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.