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Finding the Third Proportional to 305,419.50 and 449,230.50

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Solution

The third proportional to 305,419.50 and 449,230.50 is: 660,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,419.50 : 449,230.50 = 449,230.50 : x
  2. Step 2: Convert to fraction form
    305,419.50/449,230.50 = 449,230.50/x
  3. Step 3: Cross multiply
    305,419.50x = 449,230.50 × 449,230.50
  4. Step 4: Simplify right side
    305,419.50x = 201,808,042,130.25
  5. Step 5: Solve for x
    x = 201,808,042,130.25/305,419.50
  6. Step 6: Final answer
    x = 660,756.90

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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.