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Finding the Third Proportional to 348,597.75 and 739,052.25

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Solution

The third proportional to 348,597.75 and 739,052.25 is: 1,566,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,597.75 : 739,052.25 = 739,052.25 : x
  2. Step 2: Convert to fraction form
    348,597.75/739,052.25 = 739,052.25/x
  3. Step 3: Cross multiply
    348,597.75x = 739,052.25 × 739,052.25
  4. Step 4: Simplify right side
    348,597.75x = 546,198,228,230.06
  5. Step 5: Solve for x
    x = 546,198,228,230.06/348,597.75
  6. Step 6: Final answer
    x = 1,566,843.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.