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Finding the Third Proportional to 348,014.50 and 759,947

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Solution

The third proportional to 348,014.50 and 759,947 is: 1,659,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,014.50 : 759,947 = 759,947 : x
  2. Step 2: Convert to fraction form
    348,014.50/759,947 = 759,947/x
  3. Step 3: Cross multiply
    348,014.50x = 759,947 × 759,947
  4. Step 4: Simplify right side
    348,014.50x = 577,519,442,809
  5. Step 5: Solve for x
    x = 577,519,442,809/348,014.50
  6. Step 6: Final answer
    x = 1,659,469.48

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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.