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Finding the Third Proportional to 551,994.75 and 809,817.75

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Solution

The third proportional to 551,994.75 and 809,817.75 is: 1,188,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,994.75 : 809,817.75 = 809,817.75 : x
  2. Step 2: Convert to fraction form
    551,994.75/809,817.75 = 809,817.75/x
  3. Step 3: Cross multiply
    551,994.75x = 809,817.75 × 809,817.75
  4. Step 4: Simplify right side
    551,994.75x = 655,804,788,215.06
  5. Step 5: Solve for x
    x = 655,804,788,215.06/551,994.75
  6. Step 6: Final answer
    x = 1,188,063.45

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.