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Finding the Third Proportional to 335,876 and 709,668

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Solution

The third proportional to 335,876 and 709,668 is: 1,499,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,876 : 709,668 = 709,668 : x
  2. Step 2: Convert to fraction form
    335,876/709,668 = 709,668/x
  3. Step 3: Cross multiply
    335,876x = 709,668 × 709,668
  4. Step 4: Simplify right side
    335,876x = 503,628,670,224
  5. Step 5: Solve for x
    x = 503,628,670,224/335,876
  6. Step 6: Final answer
    x = 1,499,448.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.