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Finding the Third Proportional to 366,201.47 and 802,222.73

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Solution

The third proportional to 366,201.47 and 802,222.73 is: 1,757,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,201.47 : 802,222.73 = 802,222.73 : x
  2. Step 2: Convert to fraction form
    366,201.47/802,222.73 = 802,222.73/x
  3. Step 3: Cross multiply
    366,201.47x = 802,222.73 × 802,222.73
  4. Step 4: Simplify right side
    366,201.47x = 643,561,315,548.10
  5. Step 5: Solve for x
    x = 643,561,315,548.10/366,201.47
  6. Step 6: Final answer
    x = 1,757,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.