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Finding the Third Proportional to 287,106 and 629,161.50

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Solution

The third proportional to 287,106 and 629,161.50 is: 1,378,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106 : 629,161.50 = 629,161.50 : x
  2. Step 2: Convert to fraction form
    287,106/629,161.50 = 629,161.50/x
  3. Step 3: Cross multiply
    287,106x = 629,161.50 × 629,161.50
  4. Step 4: Simplify right side
    287,106x = 395,844,193,082.25
  5. Step 5: Solve for x
    x = 395,844,193,082.25/287,106
  6. Step 6: Final answer
    x = 1,378,738.84

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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.