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Finding the Third Proportional to 411,950.25 and 587,965.50

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Solution

The third proportional to 411,950.25 and 587,965.50 is: 839,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,950.25 : 587,965.50 = 587,965.50 : x
  2. Step 2: Convert to fraction form
    411,950.25/587,965.50 = 587,965.50/x
  3. Step 3: Cross multiply
    411,950.25x = 587,965.50 × 587,965.50
  4. Step 4: Simplify right side
    411,950.25x = 345,703,429,190.25
  5. Step 5: Solve for x
    x = 345,703,429,190.25/411,950.25
  6. Step 6: Final answer
    x = 839,187.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.