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Finding the Third Proportional to 348,794 and 745,168

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Solution

The third proportional to 348,794 and 745,168 is: 1,591,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,794 : 745,168 = 745,168 : x
  2. Step 2: Convert to fraction form
    348,794/745,168 = 745,168/x
  3. Step 3: Cross multiply
    348,794x = 745,168 × 745,168
  4. Step 4: Simplify right side
    348,794x = 555,275,348,224
  5. Step 5: Solve for x
    x = 555,275,348,224/348,794
  6. Step 6: Final answer
    x = 1,591,986.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.