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Finding the Third Proportional to 422,293.50 and 622,242

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Solution

The third proportional to 422,293.50 and 622,242 is: 916,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,293.50 : 622,242 = 622,242 : x
  2. Step 2: Convert to fraction form
    422,293.50/622,242 = 622,242/x
  3. Step 3: Cross multiply
    422,293.50x = 622,242 × 622,242
  4. Step 4: Simplify right side
    422,293.50x = 387,185,106,564
  5. Step 5: Solve for x
    x = 387,185,106,564/422,293.50
  6. Step 6: Final answer
    x = 916,862.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.