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Finding the Third Proportional to 222,004 and 485,480

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Solution

The third proportional to 222,004 and 485,480 is: 1,061,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,004 : 485,480 = 485,480 : x
  2. Step 2: Convert to fraction form
    222,004/485,480 = 485,480/x
  3. Step 3: Cross multiply
    222,004x = 485,480 × 485,480
  4. Step 4: Simplify right side
    222,004x = 235,690,830,400
  5. Step 5: Solve for x
    x = 235,690,830,400/222,004
  6. Step 6: Final answer
    x = 1,061,651.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.