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Finding the Third Proportional to 376,329 and 813,999

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Solution

The third proportional to 376,329 and 813,999 is: 1,760,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,329 : 813,999 = 813,999 : x
  2. Step 2: Convert to fraction form
    376,329/813,999 = 813,999/x
  3. Step 3: Cross multiply
    376,329x = 813,999 × 813,999
  4. Step 4: Simplify right side
    376,329x = 662,594,372,001
  5. Step 5: Solve for x
    x = 662,594,372,001/376,329
  6. Step 6: Final answer
    x = 1,760,678.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.