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Finding the Third Proportional to 287,103.23 and 629,154.84

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Solution

The third proportional to 287,103.23 and 629,154.84 is: 1,378,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,103.23 : 629,154.84 = 629,154.84 : x
  2. Step 2: Convert to fraction form
    287,103.23/629,154.84 = 629,154.84/x
  3. Step 3: Cross multiply
    287,103.23x = 629,154.84 × 629,154.84
  4. Step 4: Simplify right side
    287,103.23x = 395,835,817,414.09
  5. Step 5: Solve for x
    x = 395,835,817,414.09/287,103.23
  6. Step 6: Final answer
    x = 1,378,722.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.