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Finding the Third Proportional to 383,323.50 and 561,043

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Solution

The third proportional to 383,323.50 and 561,043 is: 821,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,323.50 : 561,043 = 561,043 : x
  2. Step 2: Convert to fraction form
    383,323.50/561,043 = 561,043/x
  3. Step 3: Cross multiply
    383,323.50x = 561,043 × 561,043
  4. Step 4: Simplify right side
    383,323.50x = 314,769,247,849
  5. Step 5: Solve for x
    x = 314,769,247,849/383,323.50
  6. Step 6: Final answer
    x = 821,158.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.