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Finding the Third Proportional to 511,167 and 773,914.50

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Solution

The third proportional to 511,167 and 773,914.50 is: 1,171,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,167 : 773,914.50 = 773,914.50 : x
  2. Step 2: Convert to fraction form
    511,167/773,914.50 = 773,914.50/x
  3. Step 3: Cross multiply
    511,167x = 773,914.50 × 773,914.50
  4. Step 4: Simplify right side
    511,167x = 598,943,653,310.25
  5. Step 5: Solve for x
    x = 598,943,653,310.25/511,167
  6. Step 6: Final answer
    x = 1,171,718.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.