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Finding the Third Proportional to 278,000 and 606,984

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Solution

The third proportional to 278,000 and 606,984 is: 1,325,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,000 : 606,984 = 606,984 : x
  2. Step 2: Convert to fraction form
    278,000/606,984 = 606,984/x
  3. Step 3: Cross multiply
    278,000x = 606,984 × 606,984
  4. Step 4: Simplify right side
    278,000x = 368,429,576,256
  5. Step 5: Solve for x
    x = 368,429,576,256/278,000
  6. Step 6: Final answer
    x = 1,325,286.25

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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.