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Finding the Third Proportional to 335,804 and 725,734

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Solution

The third proportional to 335,804 and 725,734 is: 1,568,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,804 : 725,734 = 725,734 : x
  2. Step 2: Convert to fraction form
    335,804/725,734 = 725,734/x
  3. Step 3: Cross multiply
    335,804x = 725,734 × 725,734
  4. Step 4: Simplify right side
    335,804x = 526,689,838,756
  5. Step 5: Solve for x
    x = 526,689,838,756/335,804
  6. Step 6: Final answer
    x = 1,568,444.21

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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.