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Finding the Third Proportional to 290,434.13 and 629,118.94

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Solution

The third proportional to 290,434.13 and 629,118.94 is: 1,362,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,434.13 : 629,118.94 = 629,118.94 : x
  2. Step 2: Convert to fraction form
    290,434.13/629,118.94 = 629,118.94/x
  3. Step 3: Cross multiply
    290,434.13x = 629,118.94 × 629,118.94
  4. Step 4: Simplify right side
    290,434.13x = 395,790,637,521.13
  5. Step 5: Solve for x
    x = 395,790,637,521.13/290,434.13
  6. Step 6: Final answer
    x = 1,362,755.28

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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.