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Finding the Third Proportional to 281,298 and 606,879

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Solution

The third proportional to 281,298 and 606,879 is: 1,309,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,298 : 606,879 = 606,879 : x
  2. Step 2: Convert to fraction form
    281,298/606,879 = 606,879/x
  3. Step 3: Cross multiply
    281,298x = 606,879 × 606,879
  4. Step 4: Simplify right side
    281,298x = 368,302,120,641
  5. Step 5: Solve for x
    x = 368,302,120,641/281,298
  6. Step 6: Final answer
    x = 1,309,295.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.