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Finding the Third Proportional to 262,794 and 564,954

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Solution

The third proportional to 262,794 and 564,954 is: 1,214,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,794 : 564,954 = 564,954 : x
  2. Step 2: Convert to fraction form
    262,794/564,954 = 564,954/x
  3. Step 3: Cross multiply
    262,794x = 564,954 × 564,954
  4. Step 4: Simplify right side
    262,794x = 319,173,022,116
  5. Step 5: Solve for x
    x = 319,173,022,116/262,794
  6. Step 6: Final answer
    x = 1,214,536.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.