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Finding the Third Proportional to 262,977 and 568,009

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Solution

The third proportional to 262,977 and 568,009 is: 1,226,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,977 : 568,009 = 568,009 : x
  2. Step 2: Convert to fraction form
    262,977/568,009 = 568,009/x
  3. Step 3: Cross multiply
    262,977x = 568,009 × 568,009
  4. Step 4: Simplify right side
    262,977x = 322,634,224,081
  5. Step 5: Solve for x
    x = 322,634,224,081/262,977
  6. Step 6: Final answer
    x = 1,226,853.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.