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Finding the Third Proportional to 340,965 and 511,447

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Solution

The third proportional to 340,965 and 511,447 is: 767,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,965 : 511,447 = 511,447 : x
  2. Step 2: Convert to fraction form
    340,965/511,447 = 511,447/x
  3. Step 3: Cross multiply
    340,965x = 511,447 × 511,447
  4. Step 4: Simplify right side
    340,965x = 261,578,033,809
  5. Step 5: Solve for x
    x = 261,578,033,809/340,965
  6. Step 6: Final answer
    x = 767,169.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.