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Finding the Third Proportional to 275,994.84 and 594,271.69

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Solution

The third proportional to 275,994.84 and 594,271.69 is: 1,279,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,994.84 : 594,271.69 = 594,271.69 : x
  2. Step 2: Convert to fraction form
    275,994.84/594,271.69 = 594,271.69/x
  3. Step 3: Cross multiply
    275,994.84x = 594,271.69 × 594,271.69
  4. Step 4: Simplify right side
    275,994.84x = 353,158,838,564.10
  5. Step 5: Solve for x
    x = 353,158,838,564.10/275,994.84
  6. Step 6: Final answer
    x = 1,279,584.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.