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Finding the Third Proportional to 235,988 and 509,542

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Solution

The third proportional to 235,988 and 509,542 is: 1,100,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,988 : 509,542 = 509,542 : x
  2. Step 2: Convert to fraction form
    235,988/509,542 = 509,542/x
  3. Step 3: Cross multiply
    235,988x = 509,542 × 509,542
  4. Step 4: Simplify right side
    235,988x = 259,633,049,764
  5. Step 5: Solve for x
    x = 259,633,049,764/235,988
  6. Step 6: Final answer
    x = 1,100,195.98

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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.