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Finding the Third Proportional to 379,643.63 and 534,017.25

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Solution

The third proportional to 379,643.63 and 534,017.25 is: 751,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,643.63 : 534,017.25 = 534,017.25 : x
  2. Step 2: Convert to fraction form
    379,643.63/534,017.25 = 534,017.25/x
  3. Step 3: Cross multiply
    379,643.63x = 534,017.25 × 534,017.25
  4. Step 4: Simplify right side
    379,643.63x = 285,174,423,297.56
  5. Step 5: Solve for x
    x = 285,174,423,297.56/379,643.63
  6. Step 6: Final answer
    x = 751,163.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.