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Finding the Third Proportional to 273,119 and 568,038

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Solution

The third proportional to 273,119 and 568,038 is: 1,181,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,119 : 568,038 = 568,038 : x
  2. Step 2: Convert to fraction form
    273,119/568,038 = 568,038/x
  3. Step 3: Cross multiply
    273,119x = 568,038 × 568,038
  4. Step 4: Simplify right side
    273,119x = 322,667,169,444
  5. Step 5: Solve for x
    x = 322,667,169,444/273,119
  6. Step 6: Final answer
    x = 1,181,416.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.