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Finding the Third Proportional to 259,410 and 568,027

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Solution

The third proportional to 259,410 and 568,027 is: 1,243,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410 : 568,027 = 568,027 : x
  2. Step 2: Convert to fraction form
    259,410/568,027 = 568,027/x
  3. Step 3: Cross multiply
    259,410x = 568,027 × 568,027
  4. Step 4: Simplify right side
    259,410x = 322,654,672,729
  5. Step 5: Solve for x
    x = 322,654,672,729/259,410
  6. Step 6: Final answer
    x = 1,243,801.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.