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Finding the Third Proportional to 368,244 and 802,100

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Solution

The third proportional to 368,244 and 802,100 is: 1,747,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,244 : 802,100 = 802,100 : x
  2. Step 2: Convert to fraction form
    368,244/802,100 = 802,100/x
  3. Step 3: Cross multiply
    368,244x = 802,100 × 802,100
  4. Step 4: Simplify right side
    368,244x = 643,364,410,000
  5. Step 5: Solve for x
    x = 643,364,410,000/368,244
  6. Step 6: Final answer
    x = 1,747,114.44

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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.