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Finding the Third Proportional to 244,764 and 518,888

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Solution

The third proportional to 244,764 and 518,888 is: 1,100,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,764 : 518,888 = 518,888 : x
  2. Step 2: Convert to fraction form
    244,764/518,888 = 518,888/x
  3. Step 3: Cross multiply
    244,764x = 518,888 × 518,888
  4. Step 4: Simplify right side
    244,764x = 269,244,756,544
  5. Step 5: Solve for x
    x = 269,244,756,544/244,764
  6. Step 6: Final answer
    x = 1,100,017.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.