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Finding the Third Proportional to 381,558.75 and 829,548.75

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Solution

The third proportional to 381,558.75 and 829,548.75 is: 1,803,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,558.75 : 829,548.75 = 829,548.75 : x
  2. Step 2: Convert to fraction form
    381,558.75/829,548.75 = 829,548.75/x
  3. Step 3: Cross multiply
    381,558.75x = 829,548.75 × 829,548.75
  4. Step 4: Simplify right side
    381,558.75x = 688,151,128,626.56
  5. Step 5: Solve for x
    x = 688,151,128,626.56/381,558.75
  6. Step 6: Final answer
    x = 1,803,526.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.