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Finding the Third Proportional to 203,064 and 468,012

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Solution

The third proportional to 203,064 and 468,012 is: 1,078,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,064 : 468,012 = 468,012 : x
  2. Step 2: Convert to fraction form
    203,064/468,012 = 468,012/x
  3. Step 3: Cross multiply
    203,064x = 468,012 × 468,012
  4. Step 4: Simplify right side
    203,064x = 219,035,232,144
  5. Step 5: Solve for x
    x = 219,035,232,144/203,064
  6. Step 6: Final answer
    x = 1,078,651.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.