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Finding the Third Proportional to 263,196 and 578,868

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Solution

The third proportional to 263,196 and 578,868 is: 1,273,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,196 : 578,868 = 578,868 : x
  2. Step 2: Convert to fraction form
    263,196/578,868 = 578,868/x
  3. Step 3: Cross multiply
    263,196x = 578,868 × 578,868
  4. Step 4: Simplify right side
    263,196x = 335,088,161,424
  5. Step 5: Solve for x
    x = 335,088,161,424/263,196
  6. Step 6: Final answer
    x = 1,273,150.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.