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Finding the Third Proportional to 222,705 and 495,089

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Solution

The third proportional to 222,705 and 495,089 is: 1,100,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,705 : 495,089 = 495,089 : x
  2. Step 2: Convert to fraction form
    222,705/495,089 = 495,089/x
  3. Step 3: Cross multiply
    222,705x = 495,089 × 495,089
  4. Step 4: Simplify right side
    222,705x = 245,113,117,921
  5. Step 5: Solve for x
    x = 245,113,117,921/222,705
  6. Step 6: Final answer
    x = 1,100,617.94

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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.