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Finding the Third Proportional to 376,377 and 807,330

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Solution

The third proportional to 376,377 and 807,330 is: 1,731,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,377 : 807,330 = 807,330 : x
  2. Step 2: Convert to fraction form
    376,377/807,330 = 807,330/x
  3. Step 3: Cross multiply
    376,377x = 807,330 × 807,330
  4. Step 4: Simplify right side
    376,377x = 651,781,728,900
  5. Step 5: Solve for x
    x = 651,781,728,900/376,377
  6. Step 6: Final answer
    x = 1,731,725.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.