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Finding the Third Proportional to 368,485 and 801,845

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Solution

The third proportional to 368,485 and 801,845 is: 1,744,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,485 : 801,845 = 801,845 : x
  2. Step 2: Convert to fraction form
    368,485/801,845 = 801,845/x
  3. Step 3: Cross multiply
    368,485x = 801,845 × 801,845
  4. Step 4: Simplify right side
    368,485x = 642,955,404,025
  5. Step 5: Solve for x
    x = 642,955,404,025/368,485
  6. Step 6: Final answer
    x = 1,744,861.81

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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.