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Finding the Third Proportional to 278,009.50 and 606,995.88

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Solution

The third proportional to 278,009.50 and 606,995.88 is: 1,325,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,009.50 : 606,995.88 = 606,995.88 : x
  2. Step 2: Convert to fraction form
    278,009.50/606,995.88 = 606,995.88/x
  3. Step 3: Cross multiply
    278,009.50x = 606,995.88 × 606,995.88
  4. Step 4: Simplify right side
    278,009.50x = 368,443,992,267.02
  5. Step 5: Solve for x
    x = 368,443,992,267.02/278,009.50
  6. Step 6: Final answer
    x = 1,325,292.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.