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Finding the Third Proportional to 235,863 and 498,348

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Solution

The third proportional to 235,863 and 498,348 is: 1,052,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,863 : 498,348 = 498,348 : x
  2. Step 2: Convert to fraction form
    235,863/498,348 = 498,348/x
  3. Step 3: Cross multiply
    235,863x = 498,348 × 498,348
  4. Step 4: Simplify right side
    235,863x = 248,350,729,104
  5. Step 5: Solve for x
    x = 248,350,729,104/235,863
  6. Step 6: Final answer
    x = 1,052,944.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.