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Finding the Third Proportional to 381,056.06 and 821,596.50

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Solution

The third proportional to 381,056.06 and 821,596.50 is: 1,771,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,056.06 : 821,596.50 = 821,596.50 : x
  2. Step 2: Convert to fraction form
    381,056.06/821,596.50 = 821,596.50/x
  3. Step 3: Cross multiply
    381,056.06x = 821,596.50 × 821,596.50
  4. Step 4: Simplify right side
    381,056.06x = 675,020,808,812.25
  5. Step 5: Solve for x
    x = 675,020,808,812.25/381,056.06
  6. Step 6: Final answer
    x = 1,771,447.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.