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Finding the Third Proportional to 313,345.50 and 477,361.50

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Solution

The third proportional to 313,345.50 and 477,361.50 is: 727,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,345.50 : 477,361.50 = 477,361.50 : x
  2. Step 2: Convert to fraction form
    313,345.50/477,361.50 = 477,361.50/x
  3. Step 3: Cross multiply
    313,345.50x = 477,361.50 × 477,361.50
  4. Step 4: Simplify right side
    313,345.50x = 227,874,001,682.25
  5. Step 5: Solve for x
    x = 227,874,001,682.25/313,345.50
  6. Step 6: Final answer
    x = 727,229.21

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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.