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Finding the Third Proportional to 268,734 and 388,474.50

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Solution

The third proportional to 268,734 and 388,474.50 is: 561,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,734 : 388,474.50 = 388,474.50 : x
  2. Step 2: Convert to fraction form
    268,734/388,474.50 = 388,474.50/x
  3. Step 3: Cross multiply
    268,734x = 388,474.50 × 388,474.50
  4. Step 4: Simplify right side
    268,734x = 150,912,437,150.25
  5. Step 5: Solve for x
    x = 150,912,437,150.25/268,734
  6. Step 6: Final answer
    x = 561,568.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.