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Finding the Third Proportional to 301,716.75 and 447,352.50

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Solution

The third proportional to 301,716.75 and 447,352.50 is: 663,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.75 : 447,352.50 = 447,352.50 : x
  2. Step 2: Convert to fraction form
    301,716.75/447,352.50 = 447,352.50/x
  3. Step 3: Cross multiply
    301,716.75x = 447,352.50 × 447,352.50
  4. Step 4: Simplify right side
    301,716.75x = 200,124,259,256.25
  5. Step 5: Solve for x
    x = 200,124,259,256.25/301,716.75
  6. Step 6: Final answer
    x = 663,285.21

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