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Finding the Third Proportional to 222,004.13 and 488,293.31

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Solution

The third proportional to 222,004.13 and 488,293.31 is: 1,073,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,004.13 : 488,293.31 = 488,293.31 : x
  2. Step 2: Convert to fraction form
    222,004.13/488,293.31 = 488,293.31/x
  3. Step 3: Cross multiply
    222,004.13x = 488,293.31 × 488,293.31
  4. Step 4: Simplify right side
    222,004.13x = 238,430,359,032.22
  5. Step 5: Solve for x
    x = 238,430,359,032.22/222,004.13
  6. Step 6: Final answer
    x = 1,073,990.67

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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.