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Finding the Third Proportional to 563,936 and 863,762

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Solution

The third proportional to 563,936 and 863,762 is: 1,322,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,936 : 863,762 = 863,762 : x
  2. Step 2: Convert to fraction form
    563,936/863,762 = 863,762/x
  3. Step 3: Cross multiply
    563,936x = 863,762 × 863,762
  4. Step 4: Simplify right side
    563,936x = 746,084,792,644
  5. Step 5: Solve for x
    x = 746,084,792,644/563,936
  6. Step 6: Final answer
    x = 1,322,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.