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Finding the Third Proportional to 352,400 and 768,100

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Solution

The third proportional to 352,400 and 768,100 is: 1,674,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,400 : 768,100 = 768,100 : x
  2. Step 2: Convert to fraction form
    352,400/768,100 = 768,100/x
  3. Step 3: Cross multiply
    352,400x = 768,100 × 768,100
  4. Step 4: Simplify right side
    352,400x = 589,977,610,000
  5. Step 5: Solve for x
    x = 589,977,610,000/352,400
  6. Step 6: Final answer
    x = 1,674,170.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.