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Finding the Third Proportional to 376,372 and 807,320

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Solution

The third proportional to 376,372 and 807,320 is: 1,731,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,372 : 807,320 = 807,320 : x
  2. Step 2: Convert to fraction form
    376,372/807,320 = 807,320/x
  3. Step 3: Cross multiply
    376,372x = 807,320 × 807,320
  4. Step 4: Simplify right side
    376,372x = 651,765,582,400
  5. Step 5: Solve for x
    x = 651,765,582,400/376,372
  6. Step 6: Final answer
    x = 1,731,705.82

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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.