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Finding the Third Proportional to 511,165 and 773,911.50

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Solution

The third proportional to 511,165 and 773,911.50 is: 1,171,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,165 : 773,911.50 = 773,911.50 : x
  2. Step 2: Convert to fraction form
    511,165/773,911.50 = 773,911.50/x
  3. Step 3: Cross multiply
    511,165x = 773,911.50 × 773,911.50
  4. Step 4: Simplify right side
    511,165x = 598,939,009,832.25
  5. Step 5: Solve for x
    x = 598,939,009,832.25/511,165
  6. Step 6: Final answer
    x = 1,171,713.65

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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.