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Finding the Third Proportional to 313,379 and 477,410.50

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Solution

The third proportional to 313,379 and 477,410.50 is: 727,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,379 : 477,410.50 = 477,410.50 : x
  2. Step 2: Convert to fraction form
    313,379/477,410.50 = 477,410.50/x
  3. Step 3: Cross multiply
    313,379x = 477,410.50 × 477,410.50
  4. Step 4: Simplify right side
    313,379x = 227,920,785,510.25
  5. Step 5: Solve for x
    x = 227,920,785,510.25/313,379
  6. Step 6: Final answer
    x = 727,300.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.