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Finding the Third Proportional to 384,648.75 and 998,529.19

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Solution

The third proportional to 384,648.75 and 998,529.19 is: 2,592,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,648.75 : 998,529.19 = 998,529.19 : x
  2. Step 2: Convert to fraction form
    384,648.75/998,529.19 = 998,529.19/x
  3. Step 3: Cross multiply
    384,648.75x = 998,529.19 × 998,529.19
  4. Step 4: Simplify right side
    384,648.75x = 997,060,538,289.41
  5. Step 5: Solve for x
    x = 997,060,538,289.41/384,648.75
  6. Step 6: Final answer
    x = 2,592,132.53

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.