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Finding the Third Proportional to 343,096 and 752,652

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Solution

The third proportional to 343,096 and 752,652 is: 1,651,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,096 : 752,652 = 752,652 : x
  2. Step 2: Convert to fraction form
    343,096/752,652 = 752,652/x
  3. Step 3: Cross multiply
    343,096x = 752,652 × 752,652
  4. Step 4: Simplify right side
    343,096x = 566,485,033,104
  5. Step 5: Solve for x
    x = 566,485,033,104/343,096
  6. Step 6: Final answer
    x = 1,651,097.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.