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Finding the Third Proportional to 389,880 and 850,224

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Solution

The third proportional to 389,880 and 850,224 is: 1,854,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880 : 850,224 = 850,224 : x
  2. Step 2: Convert to fraction form
    389,880/850,224 = 850,224/x
  3. Step 3: Cross multiply
    389,880x = 850,224 × 850,224
  4. Step 4: Simplify right side
    389,880x = 722,880,850,176
  5. Step 5: Solve for x
    x = 722,880,850,176/389,880
  6. Step 6: Final answer
    x = 1,854,111.14

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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.