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Finding the Third Proportional to 248,954 and 357,879

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Solution

The third proportional to 248,954 and 357,879 is: 514,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,954 : 357,879 = 357,879 : x
  2. Step 2: Convert to fraction form
    248,954/357,879 = 357,879/x
  3. Step 3: Cross multiply
    248,954x = 357,879 × 357,879
  4. Step 4: Simplify right side
    248,954x = 128,077,378,641
  5. Step 5: Solve for x
    x = 128,077,378,641/248,954
  6. Step 6: Final answer
    x = 514,462.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.