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Finding the Third Proportional to 290,536.88 and 629,329.50

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Solution

The third proportional to 290,536.88 and 629,329.50 is: 1,363,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,536.88 : 629,329.50 = 629,329.50 : x
  2. Step 2: Convert to fraction form
    290,536.88/629,329.50 = 629,329.50/x
  3. Step 3: Cross multiply
    290,536.88x = 629,329.50 × 629,329.50
  4. Step 4: Simplify right side
    290,536.88x = 396,055,619,570.25
  5. Step 5: Solve for x
    x = 396,055,619,570.25/290,536.88
  6. Step 6: Final answer
    x = 1,363,185.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.