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Finding the Third Proportional to 511,269 and 777,525.75

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Solution

The third proportional to 511,269 and 777,525.75 is: 1,182,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,269 : 777,525.75 = 777,525.75 : x
  2. Step 2: Convert to fraction form
    511,269/777,525.75 = 777,525.75/x
  3. Step 3: Cross multiply
    511,269x = 777,525.75 × 777,525.75
  4. Step 4: Simplify right side
    511,269x = 604,546,291,913.06
  5. Step 5: Solve for x
    x = 604,546,291,913.06/511,269
  6. Step 6: Final answer
    x = 1,182,442.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.