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Finding the Third Proportional to 349,770.75 and 753,054.75

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Solution

The third proportional to 349,770.75 and 753,054.75 is: 1,621,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770.75 : 753,054.75 = 753,054.75 : x
  2. Step 2: Convert to fraction form
    349,770.75/753,054.75 = 753,054.75/x
  3. Step 3: Cross multiply
    349,770.75x = 753,054.75 × 753,054.75
  4. Step 4: Simplify right side
    349,770.75x = 567,091,456,497.56
  5. Step 5: Solve for x
    x = 567,091,456,497.56/349,770.75
  6. Step 6: Final answer
    x = 1,621,323.27

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Why These Related Problems?

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