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Finding the Third Proportional to 386,592.75 and 830,401.88

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Solution

The third proportional to 386,592.75 and 830,401.88 is: 1,783,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,592.75 : 830,401.88 = 830,401.88 : x
  2. Step 2: Convert to fraction form
    386,592.75/830,401.88 = 830,401.88/x
  3. Step 3: Cross multiply
    386,592.75x = 830,401.88 × 830,401.88
  4. Step 4: Simplify right side
    386,592.75x = 689,567,274,003.52
  5. Step 5: Solve for x
    x = 689,567,274,003.52/386,592.75
  6. Step 6: Final answer
    x = 1,783,704.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.