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Finding the Third Proportional to 361,960 and 788,168

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Solution

The third proportional to 361,960 and 788,168 is: 1,716,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,960 : 788,168 = 788,168 : x
  2. Step 2: Convert to fraction form
    361,960/788,168 = 788,168/x
  3. Step 3: Cross multiply
    361,960x = 788,168 × 788,168
  4. Step 4: Simplify right side
    361,960x = 621,208,796,224
  5. Step 5: Solve for x
    x = 621,208,796,224/361,960
  6. Step 6: Final answer
    x = 1,716,236.04

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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.