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Finding the Third Proportional to 382,743 and 563,041

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Solution

The third proportional to 382,743 and 563,041 is: 828,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,743 : 563,041 = 563,041 : x
  2. Step 2: Convert to fraction form
    382,743/563,041 = 563,041/x
  3. Step 3: Cross multiply
    382,743x = 563,041 × 563,041
  4. Step 4: Simplify right side
    382,743x = 317,015,167,681
  5. Step 5: Solve for x
    x = 317,015,167,681/382,743
  6. Step 6: Final answer
    x = 828,271.63

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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.