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Finding the Third Proportional to 235,467 and 498,879

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Solution

The third proportional to 235,467 and 498,879 is: 1,056,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,467 : 498,879 = 498,879 : x
  2. Step 2: Convert to fraction form
    235,467/498,879 = 498,879/x
  3. Step 3: Cross multiply
    235,467x = 498,879 × 498,879
  4. Step 4: Simplify right side
    235,467x = 248,880,256,641
  5. Step 5: Solve for x
    x = 248,880,256,641/235,467
  6. Step 6: Final answer
    x = 1,056,964.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.