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Finding the Third Proportional to 382,765.50 and 894,037.50

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Solution

The third proportional to 382,765.50 and 894,037.50 is: 2,088,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,765.50 : 894,037.50 = 894,037.50 : x
  2. Step 2: Convert to fraction form
    382,765.50/894,037.50 = 894,037.50/x
  3. Step 3: Cross multiply
    382,765.50x = 894,037.50 × 894,037.50
  4. Step 4: Simplify right side
    382,765.50x = 799,303,051,406.25
  5. Step 5: Solve for x
    x = 799,303,051,406.25/382,765.50
  6. Step 6: Final answer
    x = 2,088,231.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.