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Finding the Third Proportional to 278,968 and 610,100

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Solution

The third proportional to 278,968 and 610,100 is: 1,334,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,968 : 610,100 = 610,100 : x
  2. Step 2: Convert to fraction form
    278,968/610,100 = 610,100/x
  3. Step 3: Cross multiply
    278,968x = 610,100 × 610,100
  4. Step 4: Simplify right side
    278,968x = 372,222,010,000
  5. Step 5: Solve for x
    x = 372,222,010,000/278,968
  6. Step 6: Final answer
    x = 1,334,282.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.