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Finding the Third Proportional to 233,675 and 496,518

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Solution

The third proportional to 233,675 and 496,518 is: 1,055,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,675 : 496,518 = 496,518 : x
  2. Step 2: Convert to fraction form
    233,675/496,518 = 496,518/x
  3. Step 3: Cross multiply
    233,675x = 496,518 × 496,518
  4. Step 4: Simplify right side
    233,675x = 246,530,124,324
  5. Step 5: Solve for x
    x = 246,530,124,324/233,675
  6. Step 6: Final answer
    x = 1,055,012.84

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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.