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Finding the Third Proportional to 361,928 and 788,104

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Solution

The third proportional to 361,928 and 788,104 is: 1,716,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,928 : 788,104 = 788,104 : x
  2. Step 2: Convert to fraction form
    361,928/788,104 = 788,104/x
  3. Step 3: Cross multiply
    361,928x = 788,104 × 788,104
  4. Step 4: Simplify right side
    361,928x = 621,107,914,816
  5. Step 5: Solve for x
    x = 621,107,914,816/361,928
  6. Step 6: Final answer
    x = 1,716,109.05

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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.