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Finding the Third Proportional to 287,046 and 629,040.38

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Solution

The third proportional to 287,046 and 629,040.38 is: 1,378,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,046 : 629,040.38 = 629,040.38 : x
  2. Step 2: Convert to fraction form
    287,046/629,040.38 = 629,040.38/x
  3. Step 3: Cross multiply
    287,046x = 629,040.38 × 629,040.38
  4. Step 4: Simplify right side
    287,046x = 395,691,793,380.14
  5. Step 5: Solve for x
    x = 395,691,793,380.14/287,046
  6. Step 6: Final answer
    x = 1,378,496.11

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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.