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Finding the Third Proportional to 408,975.75 and 647,295.75

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Solution

The third proportional to 408,975.75 and 647,295.75 is: 1,024,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,975.75 : 647,295.75 = 647,295.75 : x
  2. Step 2: Convert to fraction form
    408,975.75/647,295.75 = 647,295.75/x
  3. Step 3: Cross multiply
    408,975.75x = 647,295.75 × 647,295.75
  4. Step 4: Simplify right side
    408,975.75x = 418,991,787,968.06
  5. Step 5: Solve for x
    x = 418,991,787,968.06/408,975.75
  6. Step 6: Final answer
    x = 1,024,490.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.