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Finding the Third Proportional to 374,309.25 and 811,674.75

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Solution

The third proportional to 374,309.25 and 811,674.75 is: 1,760,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,309.25 : 811,674.75 = 811,674.75 : x
  2. Step 2: Convert to fraction form
    374,309.25/811,674.75 = 811,674.75/x
  3. Step 3: Cross multiply
    374,309.25x = 811,674.75 × 811,674.75
  4. Step 4: Simplify right side
    374,309.25x = 658,815,899,787.56
  5. Step 5: Solve for x
    x = 658,815,899,787.56/374,309.25
  6. Step 6: Final answer
    x = 1,760,084.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.