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Finding the Third Proportional to 291,879 and 633,578

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Solution

The third proportional to 291,879 and 633,578 is: 1,375,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,879 : 633,578 = 633,578 : x
  2. Step 2: Convert to fraction form
    291,879/633,578 = 633,578/x
  3. Step 3: Cross multiply
    291,879x = 633,578 × 633,578
  4. Step 4: Simplify right side
    291,879x = 401,421,082,084
  5. Step 5: Solve for x
    x = 401,421,082,084/291,879
  6. Step 6: Final answer
    x = 1,375,299.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.