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Finding the Third Proportional to 452,533.50 and 670,971.94

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Solution

The third proportional to 452,533.50 and 670,971.94 is: 994,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,533.50 : 670,971.94 = 670,971.94 : x
  2. Step 2: Convert to fraction form
    452,533.50/670,971.94 = 670,971.94/x
  3. Step 3: Cross multiply
    452,533.50x = 670,971.94 × 670,971.94
  4. Step 4: Simplify right side
    452,533.50x = 450,203,340,912.50
  5. Step 5: Solve for x
    x = 450,203,340,912.50/452,533.50
  6. Step 6: Final answer
    x = 994,850.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.