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Finding the Third Proportional to 335,838 and 725,808

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Solution

The third proportional to 335,838 and 725,808 is: 1,568,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,838 : 725,808 = 725,808 : x
  2. Step 2: Convert to fraction form
    335,838/725,808 = 725,808/x
  3. Step 3: Cross multiply
    335,838x = 725,808 × 725,808
  4. Step 4: Simplify right side
    335,838x = 526,797,252,864
  5. Step 5: Solve for x
    x = 526,797,252,864/335,838
  6. Step 6: Final answer
    x = 1,568,605.26

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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.