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Finding the Third Proportional to 376,380 and 807,336

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Solution

The third proportional to 376,380 and 807,336 is: 1,731,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,380 : 807,336 = 807,336 : x
  2. Step 2: Convert to fraction form
    376,380/807,336 = 807,336/x
  3. Step 3: Cross multiply
    376,380x = 807,336 × 807,336
  4. Step 4: Simplify right side
    376,380x = 651,791,416,896
  5. Step 5: Solve for x
    x = 651,791,416,896/376,380
  6. Step 6: Final answer
    x = 1,731,737.65

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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.