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Finding the Third Proportional to 320,452 and 741,826

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Solution

The third proportional to 320,452 and 741,826 is: 1,717,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,452 : 741,826 = 741,826 : x
  2. Step 2: Convert to fraction form
    320,452/741,826 = 741,826/x
  3. Step 3: Cross multiply
    320,452x = 741,826 × 741,826
  4. Step 4: Simplify right side
    320,452x = 550,305,814,276
  5. Step 5: Solve for x
    x = 550,305,814,276/320,452
  6. Step 6: Final answer
    x = 1,717,280.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.