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Finding the Third Proportional to 434,468.25 and 908,661.38

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Solution

The third proportional to 434,468.25 and 908,661.38 is: 1,900,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,468.25 : 908,661.38 = 908,661.38 : x
  2. Step 2: Convert to fraction form
    434,468.25/908,661.38 = 908,661.38/x
  3. Step 3: Cross multiply
    434,468.25x = 908,661.38 × 908,661.38
  4. Step 4: Simplify right side
    434,468.25x = 825,665,494,416.89
  5. Step 5: Solve for x
    x = 825,665,494,416.89/434,468.25
  6. Step 6: Final answer
    x = 1,900,404.68

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.