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Finding the Third Proportional to 401,589 and 836,472

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Solution

The third proportional to 401,589 and 836,472 is: 1,742,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,589 : 836,472 = 836,472 : x
  2. Step 2: Convert to fraction form
    401,589/836,472 = 836,472/x
  3. Step 3: Cross multiply
    401,589x = 836,472 × 836,472
  4. Step 4: Simplify right side
    401,589x = 699,685,406,784
  5. Step 5: Solve for x
    x = 699,685,406,784/401,589
  6. Step 6: Final answer
    x = 1,742,292.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.