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Finding the Third Proportional to 235,824 and 508,993

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Solution

The third proportional to 235,824 and 508,993 is: 1,098,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,824 : 508,993 = 508,993 : x
  2. Step 2: Convert to fraction form
    235,824/508,993 = 508,993/x
  3. Step 3: Cross multiply
    235,824x = 508,993 × 508,993
  4. Step 4: Simplify right side
    235,824x = 259,073,874,049
  5. Step 5: Solve for x
    x = 259,073,874,049/235,824
  6. Step 6: Final answer
    x = 1,098,589.94

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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.