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Finding the Third Proportional to 382,846.50 and 563,213.25

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Solution

The third proportional to 382,846.50 and 563,213.25 is: 828,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,846.50 : 563,213.25 = 563,213.25 : x
  2. Step 2: Convert to fraction form
    382,846.50/563,213.25 = 563,213.25/x
  3. Step 3: Cross multiply
    382,846.50x = 563,213.25 × 563,213.25
  4. Step 4: Simplify right side
    382,846.50x = 317,209,164,975.56
  5. Step 5: Solve for x
    x = 317,209,164,975.56/382,846.50
  6. Step 6: Final answer
    x = 828,554.43

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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.