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Finding the Third Proportional to 237,638.75 and 528,408.75

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Solution

The third proportional to 237,638.75 and 528,408.75 is: 1,174,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,638.75 : 528,408.75 = 528,408.75 : x
  2. Step 2: Convert to fraction form
    237,638.75/528,408.75 = 528,408.75/x
  3. Step 3: Cross multiply
    237,638.75x = 528,408.75 × 528,408.75
  4. Step 4: Simplify right side
    237,638.75x = 279,215,807,076.56
  5. Step 5: Solve for x
    x = 279,215,807,076.56/237,638.75
  6. Step 6: Final answer
    x = 1,174,959.08

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