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Finding the Third Proportional to 551,927.25 and 809,716.50

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Solution

The third proportional to 551,927.25 and 809,716.50 is: 1,187,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,927.25 : 809,716.50 = 809,716.50 : x
  2. Step 2: Convert to fraction form
    551,927.25/809,716.50 = 809,716.50/x
  3. Step 3: Cross multiply
    551,927.25x = 809,716.50 × 809,716.50
  4. Step 4: Simplify right side
    551,927.25x = 655,640,810,372.25
  5. Step 5: Solve for x
    x = 655,640,810,372.25/551,927.25
  6. Step 6: Final answer
    x = 1,187,911.65

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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.