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Finding the Third Proportional to 335,804 and 725,736

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Solution

The third proportional to 335,804 and 725,736 is: 1,568,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,804 : 725,736 = 725,736 : x
  2. Step 2: Convert to fraction form
    335,804/725,736 = 725,736/x
  3. Step 3: Cross multiply
    335,804x = 725,736 × 725,736
  4. Step 4: Simplify right side
    335,804x = 526,692,741,696
  5. Step 5: Solve for x
    x = 526,692,741,696/335,804
  6. Step 6: Final answer
    x = 1,568,452.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.