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Finding the Third Proportional to 199,617 and 437,879

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Solution

The third proportional to 199,617 and 437,879 is: 960,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 437,879 = 437,879 : x
  2. Step 2: Convert to fraction form
    199,617/437,879 = 437,879/x
  3. Step 3: Cross multiply
    199,617x = 437,879 × 437,879
  4. Step 4: Simplify right side
    199,617x = 191,738,018,641
  5. Step 5: Solve for x
    x = 191,738,018,641/199,617
  6. Step 6: Final answer
    x = 960,529.51

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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.