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Finding the Third Proportional to 301,150.50 and 441,672

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Solution

The third proportional to 301,150.50 and 441,672 is: 647,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,150.50 : 441,672 = 441,672 : x
  2. Step 2: Convert to fraction form
    301,150.50/441,672 = 441,672/x
  3. Step 3: Cross multiply
    301,150.50x = 441,672 × 441,672
  4. Step 4: Simplify right side
    301,150.50x = 195,074,155,584
  5. Step 5: Solve for x
    x = 195,074,155,584/301,150.50
  6. Step 6: Final answer
    x = 647,763.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.