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Finding the Third Proportional to 380,984 and 837,168

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Solution

The third proportional to 380,984 and 837,168 is: 1,839,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,984 : 837,168 = 837,168 : x
  2. Step 2: Convert to fraction form
    380,984/837,168 = 837,168/x
  3. Step 3: Cross multiply
    380,984x = 837,168 × 837,168
  4. Step 4: Simplify right side
    380,984x = 700,850,260,224
  5. Step 5: Solve for x
    x = 700,850,260,224/380,984
  6. Step 6: Final answer
    x = 1,839,579.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.