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Finding the Third Proportional to 294,626 and 654,538

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Solution

The third proportional to 294,626 and 654,538 is: 1,454,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,626 : 654,538 = 654,538 : x
  2. Step 2: Convert to fraction form
    294,626/654,538 = 654,538/x
  3. Step 3: Cross multiply
    294,626x = 654,538 × 654,538
  4. Step 4: Simplify right side
    294,626x = 428,419,993,444
  5. Step 5: Solve for x
    x = 428,419,993,444/294,626
  6. Step 6: Final answer
    x = 1,454,114.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.