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Finding the Third Proportional to 317,907 and 445,576.50

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Solution

The third proportional to 317,907 and 445,576.50 is: 624,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,907 : 445,576.50 = 445,576.50 : x
  2. Step 2: Convert to fraction form
    317,907/445,576.50 = 445,576.50/x
  3. Step 3: Cross multiply
    317,907x = 445,576.50 × 445,576.50
  4. Step 4: Simplify right side
    317,907x = 198,538,417,352.25
  5. Step 5: Solve for x
    x = 198,538,417,352.25/317,907
  6. Step 6: Final answer
    x = 624,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.