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Finding the Third Proportional to 278,064.75 and 607,098

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Solution

The third proportional to 278,064.75 and 607,098 is: 1,325,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,064.75 : 607,098 = 607,098 : x
  2. Step 2: Convert to fraction form
    278,064.75/607,098 = 607,098/x
  3. Step 3: Cross multiply
    278,064.75x = 607,098 × 607,098
  4. Step 4: Simplify right side
    278,064.75x = 368,567,981,604
  5. Step 5: Solve for x
    x = 368,567,981,604/278,064.75
  6. Step 6: Final answer
    x = 1,325,475.39

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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.