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Finding the Third Proportional to 437,032 and 659,544

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Solution

The third proportional to 437,032 and 659,544 is: 995,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,032 : 659,544 = 659,544 : x
  2. Step 2: Convert to fraction form
    437,032/659,544 = 659,544/x
  3. Step 3: Cross multiply
    437,032x = 659,544 × 659,544
  4. Step 4: Simplify right side
    437,032x = 434,998,287,936
  5. Step 5: Solve for x
    x = 434,998,287,936/437,032
  6. Step 6: Final answer
    x = 995,346.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.