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Finding the Third Proportional to 809,374.50 and 1,187,813.25

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Solution

The third proportional to 809,374.50 and 1,187,813.25 is: 1,743,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,374.50 : 1,187,813.25 = 1,187,813.25 : x
  2. Step 2: Convert to fraction form
    809,374.50/1,187,813.25 = 1,187,813.25/x
  3. Step 3: Cross multiply
    809,374.50x = 1,187,813.25 × 1,187,813.25
  4. Step 4: Simplify right side
    809,374.50x = 1,410,900,316,875.56
  5. Step 5: Solve for x
    x = 1,410,900,316,875.56/809,374.50
  6. Step 6: Final answer
    x = 1,743,198.38

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Why These Related Problems?

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