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Finding the Third Proportional to 278,004 and 606,984.25

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Solution

The third proportional to 278,004 and 606,984.25 is: 1,325,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004 : 606,984.25 = 606,984.25 : x
  2. Step 2: Convert to fraction form
    278,004/606,984.25 = 606,984.25/x
  3. Step 3: Cross multiply
    278,004x = 606,984.25 × 606,984.25
  4. Step 4: Simplify right side
    278,004x = 368,429,879,748.06
  5. Step 5: Solve for x
    x = 368,429,879,748.06/278,004
  6. Step 6: Final answer
    x = 1,325,268.27

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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.