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Finding the Third Proportional to 278,065.75 and 607,100

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Solution

The third proportional to 278,065.75 and 607,100 is: 1,325,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,065.75 : 607,100 = 607,100 : x
  2. Step 2: Convert to fraction form
    278,065.75/607,100 = 607,100/x
  3. Step 3: Cross multiply
    278,065.75x = 607,100 × 607,100
  4. Step 4: Simplify right side
    278,065.75x = 368,570,410,000
  5. Step 5: Solve for x
    x = 368,570,410,000/278,065.75
  6. Step 6: Final answer
    x = 1,325,479.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.