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Finding the Third Proportional to 511,848 and 802,865.25

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Solution

The third proportional to 511,848 and 802,865.25 is: 1,259,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,848 : 802,865.25 = 802,865.25 : x
  2. Step 2: Convert to fraction form
    511,848/802,865.25 = 802,865.25/x
  3. Step 3: Cross multiply
    511,848x = 802,865.25 × 802,865.25
  4. Step 4: Simplify right side
    511,848x = 644,592,609,657.56
  5. Step 5: Solve for x
    x = 644,592,609,657.56/511,848
  6. Step 6: Final answer
    x = 1,259,343.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.