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Finding the Third Proportional to 381,334.50 and 560,337.75

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Solution

The third proportional to 381,334.50 and 560,337.75 is: 823,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,334.50 : 560,337.75 = 560,337.75 : x
  2. Step 2: Convert to fraction form
    381,334.50/560,337.75 = 560,337.75/x
  3. Step 3: Cross multiply
    381,334.50x = 560,337.75 × 560,337.75
  4. Step 4: Simplify right side
    381,334.50x = 313,978,394,075.06
  5. Step 5: Solve for x
    x = 313,978,394,075.06/381,334.50
  6. Step 6: Final answer
    x = 823,367.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.