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Finding the Third Proportional to 401,696 and 856,768

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Solution

The third proportional to 401,696 and 856,768 is: 1,827,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,696 : 856,768 = 856,768 : x
  2. Step 2: Convert to fraction form
    401,696/856,768 = 856,768/x
  3. Step 3: Cross multiply
    401,696x = 856,768 × 856,768
  4. Step 4: Simplify right side
    401,696x = 734,051,405,824
  5. Step 5: Solve for x
    x = 734,051,405,824/401,696
  6. Step 6: Final answer
    x = 1,827,380.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.