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Finding the Third Proportional to 364,104 and 774,135

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Solution

The third proportional to 364,104 and 774,135 is: 1,645,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,104 : 774,135 = 774,135 : x
  2. Step 2: Convert to fraction form
    364,104/774,135 = 774,135/x
  3. Step 3: Cross multiply
    364,104x = 774,135 × 774,135
  4. Step 4: Simplify right side
    364,104x = 599,284,998,225
  5. Step 5: Solve for x
    x = 599,284,998,225/364,104
  6. Step 6: Final answer
    x = 1,645,917.10

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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.