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Finding the Third Proportional to 335,180 and 468,851

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Solution

The third proportional to 335,180 and 468,851 is: 655,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,180 : 468,851 = 468,851 : x
  2. Step 2: Convert to fraction form
    335,180/468,851 = 468,851/x
  3. Step 3: Cross multiply
    335,180x = 468,851 × 468,851
  4. Step 4: Simplify right side
    335,180x = 219,821,260,201
  5. Step 5: Solve for x
    x = 219,821,260,201/335,180
  6. Step 6: Final answer
    x = 655,830.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.