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Finding the Third Proportional to 481,531.50 and 523,563.75

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Solution

The third proportional to 481,531.50 and 523,563.75 is: 569,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,531.50 : 523,563.75 = 523,563.75 : x
  2. Step 2: Convert to fraction form
    481,531.50/523,563.75 = 523,563.75/x
  3. Step 3: Cross multiply
    481,531.50x = 523,563.75 × 523,563.75
  4. Step 4: Simplify right side
    481,531.50x = 274,119,000,314.06
  5. Step 5: Solve for x
    x = 274,119,000,314.06/481,531.50
  6. Step 6: Final answer
    x = 569,264.94

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.