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Finding the Third Proportional to 348,019 and 759,956

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Solution

The third proportional to 348,019 and 759,956 is: 1,659,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,019 : 759,956 = 759,956 : x
  2. Step 2: Convert to fraction form
    348,019/759,956 = 759,956/x
  3. Step 3: Cross multiply
    348,019x = 759,956 × 759,956
  4. Step 4: Simplify right side
    348,019x = 577,533,121,936
  5. Step 5: Solve for x
    x = 577,533,121,936/348,019
  6. Step 6: Final answer
    x = 1,659,487.33

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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.