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Finding the Third Proportional to 222,079.50 and 488,445.75

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Solution

The third proportional to 222,079.50 and 488,445.75 is: 1,074,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,079.50 : 488,445.75 = 488,445.75 : x
  2. Step 2: Convert to fraction form
    222,079.50/488,445.75 = 488,445.75/x
  3. Step 3: Cross multiply
    222,079.50x = 488,445.75 × 488,445.75
  4. Step 4: Simplify right side
    222,079.50x = 238,579,250,693.06
  5. Step 5: Solve for x
    x = 238,579,250,693.06/222,079.50
  6. Step 6: Final answer
    x = 1,074,296.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.