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Finding the Third Proportional to 302,551.50 and 664,141.50

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Solution

The third proportional to 302,551.50 and 664,141.50 is: 1,457,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,551.50 : 664,141.50 = 664,141.50 : x
  2. Step 2: Convert to fraction form
    302,551.50/664,141.50 = 664,141.50/x
  3. Step 3: Cross multiply
    302,551.50x = 664,141.50 × 664,141.50
  4. Step 4: Simplify right side
    302,551.50x = 441,083,932,022.25
  5. Step 5: Solve for x
    x = 441,083,932,022.25/302,551.50
  6. Step 6: Final answer
    x = 1,457,880.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.