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Finding the Third Proportional to 335,880 and 725,886

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Solution

The third proportional to 335,880 and 725,886 is: 1,568,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,880 : 725,886 = 725,886 : x
  2. Step 2: Convert to fraction form
    335,880/725,886 = 725,886/x
  3. Step 3: Cross multiply
    335,880x = 725,886 × 725,886
  4. Step 4: Simplify right side
    335,880x = 526,910,484,996
  5. Step 5: Solve for x
    x = 526,910,484,996/335,880
  6. Step 6: Final answer
    x = 1,568,746.23

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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.