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Finding the Third Proportional to 371,976.75 and 810,384.75

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Solution

The third proportional to 371,976.75 and 810,384.75 is: 1,765,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,976.75 : 810,384.75 = 810,384.75 : x
  2. Step 2: Convert to fraction form
    371,976.75/810,384.75 = 810,384.75/x
  3. Step 3: Cross multiply
    371,976.75x = 810,384.75 × 810,384.75
  4. Step 4: Simplify right side
    371,976.75x = 656,723,443,032.56
  5. Step 5: Solve for x
    x = 656,723,443,032.56/371,976.75
  6. Step 6: Final answer
    x = 1,765,495.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.