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Finding the Third Proportional to 416,134.50 and 628,576.50

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Solution

The third proportional to 416,134.50 and 628,576.50 is: 949,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,134.50 : 628,576.50 = 628,576.50 : x
  2. Step 2: Convert to fraction form
    416,134.50/628,576.50 = 628,576.50/x
  3. Step 3: Cross multiply
    416,134.50x = 628,576.50 × 628,576.50
  4. Step 4: Simplify right side
    416,134.50x = 395,108,416,352.25
  5. Step 5: Solve for x
    x = 395,108,416,352.25/416,134.50
  6. Step 6: Final answer
    x = 949,472.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.