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Finding the Third Proportional to 344,400 and 743,168

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Solution

The third proportional to 344,400 and 743,168 is: 1,603,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,400 : 743,168 = 743,168 : x
  2. Step 2: Convert to fraction form
    344,400/743,168 = 743,168/x
  3. Step 3: Cross multiply
    344,400x = 743,168 × 743,168
  4. Step 4: Simplify right side
    344,400x = 552,298,676,224
  5. Step 5: Solve for x
    x = 552,298,676,224/344,400
  6. Step 6: Final answer
    x = 1,603,654.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.