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Finding the Third Proportional to 281,500 and 618,296

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Solution

The third proportional to 281,500 and 618,296 is: 1,358,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,500 : 618,296 = 618,296 : x
  2. Step 2: Convert to fraction form
    281,500/618,296 = 618,296/x
  3. Step 3: Cross multiply
    281,500x = 618,296 × 618,296
  4. Step 4: Simplify right side
    281,500x = 382,289,943,616
  5. Step 5: Solve for x
    x = 382,289,943,616/281,500
  6. Step 6: Final answer
    x = 1,358,045.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.