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Finding the Third Proportional to 363,120 and 559,992

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Solution

The third proportional to 363,120 and 559,992 is: 863,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,120 : 559,992 = 559,992 : x
  2. Step 2: Convert to fraction form
    363,120/559,992 = 559,992/x
  3. Step 3: Cross multiply
    363,120x = 559,992 × 559,992
  4. Step 4: Simplify right side
    363,120x = 313,591,040,064
  5. Step 5: Solve for x
    x = 313,591,040,064/363,120
  6. Step 6: Final answer
    x = 863,601.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.