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Finding the Third Proportional to 563,928 and 823,388

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Solution

The third proportional to 563,928 and 823,388 is: 1,202,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,928 : 823,388 = 823,388 : x
  2. Step 2: Convert to fraction form
    563,928/823,388 = 823,388/x
  3. Step 3: Cross multiply
    563,928x = 823,388 × 823,388
  4. Step 4: Simplify right side
    563,928x = 677,967,798,544
  5. Step 5: Solve for x
    x = 677,967,798,544/563,928
  6. Step 6: Final answer
    x = 1,202,224.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.