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Finding the Third Proportional to 298,533.75 and 446,706.75

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Solution

The third proportional to 298,533.75 and 446,706.75 is: 668,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,533.75 : 446,706.75 = 446,706.75 : x
  2. Step 2: Convert to fraction form
    298,533.75/446,706.75 = 446,706.75/x
  3. Step 3: Cross multiply
    298,533.75x = 446,706.75 × 446,706.75
  4. Step 4: Simplify right side
    298,533.75x = 199,546,920,495.56
  5. Step 5: Solve for x
    x = 199,546,920,495.56/298,533.75
  6. Step 6: Final answer
    x = 668,423.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.