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Finding the Third Proportional to 511,812.84 and 802,814.20

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Solution

The third proportional to 511,812.84 and 802,814.20 is: 1,259,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,812.84 : 802,814.20 = 802,814.20 : x
  2. Step 2: Convert to fraction form
    511,812.84/802,814.20 = 802,814.20/x
  3. Step 3: Cross multiply
    511,812.84x = 802,814.20 × 802,814.20
  4. Step 4: Simplify right side
    511,812.84x = 644,510,644,739.23
  5. Step 5: Solve for x
    x = 644,510,644,739.23/511,812.84
  6. Step 6: Final answer
    x = 1,259,270.17

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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.