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Finding the Third Proportional to 364,108 and 774,143

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Solution

The third proportional to 364,108 and 774,143 is: 1,645,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,108 : 774,143 = 774,143 : x
  2. Step 2: Convert to fraction form
    364,108/774,143 = 774,143/x
  3. Step 3: Cross multiply
    364,108x = 774,143 × 774,143
  4. Step 4: Simplify right side
    364,108x = 599,297,384,449
  5. Step 5: Solve for x
    x = 599,297,384,449/364,108
  6. Step 6: Final answer
    x = 1,645,933.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.