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Finding the Third Proportional to 239,577.75 and 523,867.50

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Solution

The third proportional to 239,577.75 and 523,867.50 is: 1,145,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,577.75 : 523,867.50 = 523,867.50 : x
  2. Step 2: Convert to fraction form
    239,577.75/523,867.50 = 523,867.50/x
  3. Step 3: Cross multiply
    239,577.75x = 523,867.50 × 523,867.50
  4. Step 4: Simplify right side
    239,577.75x = 274,437,157,556.25
  5. Step 5: Solve for x
    x = 274,437,157,556.25/239,577.75
  6. Step 6: Final answer
    x = 1,145,503.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.