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Finding the Third Proportional to 356,874 and 775,956

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Solution

The third proportional to 356,874 and 775,956 is: 1,687,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,874 : 775,956 = 775,956 : x
  2. Step 2: Convert to fraction form
    356,874/775,956 = 775,956/x
  3. Step 3: Cross multiply
    356,874x = 775,956 × 775,956
  4. Step 4: Simplify right side
    356,874x = 602,107,713,936
  5. Step 5: Solve for x
    x = 602,107,713,936/356,874
  6. Step 6: Final answer
    x = 1,687,171.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.