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Finding the Third Proportional to 290,454.50 and 629,158

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Solution

The third proportional to 290,454.50 and 629,158 is: 1,362,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,454.50 : 629,158 = 629,158 : x
  2. Step 2: Convert to fraction form
    290,454.50/629,158 = 629,158/x
  3. Step 3: Cross multiply
    290,454.50x = 629,158 × 629,158
  4. Step 4: Simplify right side
    290,454.50x = 395,839,788,964
  5. Step 5: Solve for x
    x = 395,839,788,964/290,454.50
  6. Step 6: Final answer
    x = 1,362,828.91

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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.