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Finding the Third Proportional to 259,224 and 618,252

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Solution

The third proportional to 259,224 and 618,252 is: 1,474,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,224 : 618,252 = 618,252 : x
  2. Step 2: Convert to fraction form
    259,224/618,252 = 618,252/x
  3. Step 3: Cross multiply
    259,224x = 618,252 × 618,252
  4. Step 4: Simplify right side
    259,224x = 382,235,535,504
  5. Step 5: Solve for x
    x = 382,235,535,504/259,224
  6. Step 6: Final answer
    x = 1,474,537.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.