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Finding the Third Proportional to 517,504 and 822,912

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Solution

The third proportional to 517,504 and 822,912 is: 1,308,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,504 : 822,912 = 822,912 : x
  2. Step 2: Convert to fraction form
    517,504/822,912 = 822,912/x
  3. Step 3: Cross multiply
    517,504x = 822,912 × 822,912
  4. Step 4: Simplify right side
    517,504x = 677,184,159,744
  5. Step 5: Solve for x
    x = 677,184,159,744/517,504
  6. Step 6: Final answer
    x = 1,308,558.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.