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Finding the Third Proportional to 401,308 and 835,832

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Solution

The third proportional to 401,308 and 835,832 is: 1,740,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,308 : 835,832 = 835,832 : x
  2. Step 2: Convert to fraction form
    401,308/835,832 = 835,832/x
  3. Step 3: Cross multiply
    401,308x = 835,832 × 835,832
  4. Step 4: Simplify right side
    401,308x = 698,615,132,224
  5. Step 5: Solve for x
    x = 698,615,132,224/401,308
  6. Step 6: Final answer
    x = 1,740,845.27

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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.