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Finding the Third Proportional to 320,592.75 and 498,390

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Solution

The third proportional to 320,592.75 and 498,390 is: 774,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,592.75 : 498,390 = 498,390 : x
  2. Step 2: Convert to fraction form
    320,592.75/498,390 = 498,390/x
  3. Step 3: Cross multiply
    320,592.75x = 498,390 × 498,390
  4. Step 4: Simplify right side
    320,592.75x = 248,392,592,100
  5. Step 5: Solve for x
    x = 248,392,592,100/320,592.75
  6. Step 6: Final answer
    x = 774,791.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.