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Finding the Third Proportional to 235,469 and 498,883

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Solution

The third proportional to 235,469 and 498,883 is: 1,056,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469 : 498,883 = 498,883 : x
  2. Step 2: Convert to fraction form
    235,469/498,883 = 498,883/x
  3. Step 3: Cross multiply
    235,469x = 498,883 × 498,883
  4. Step 4: Simplify right side
    235,469x = 248,884,247,689
  5. Step 5: Solve for x
    x = 248,884,247,689/235,469
  6. Step 6: Final answer
    x = 1,056,972.46

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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.