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Finding the Third Proportional to 222,621 and 495,069

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Solution

The third proportional to 222,621 and 495,069 is: 1,100,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,621 : 495,069 = 495,069 : x
  2. Step 2: Convert to fraction form
    222,621/495,069 = 495,069/x
  3. Step 3: Cross multiply
    222,621x = 495,069 × 495,069
  4. Step 4: Simplify right side
    222,621x = 245,093,314,761
  5. Step 5: Solve for x
    x = 245,093,314,761/222,621
  6. Step 6: Final answer
    x = 1,100,944.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.