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Finding the Third Proportional to 278,106 and 607,180

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Solution

The third proportional to 278,106 and 607,180 is: 1,325,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,106 : 607,180 = 607,180 : x
  2. Step 2: Convert to fraction form
    278,106/607,180 = 607,180/x
  3. Step 3: Cross multiply
    278,106x = 607,180 × 607,180
  4. Step 4: Simplify right side
    278,106x = 368,667,552,400
  5. Step 5: Solve for x
    x = 368,667,552,400/278,106
  6. Step 6: Final answer
    x = 1,325,636.82

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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.