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Finding the Third Proportional to 302,680.50 and 664,404

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Solution

The third proportional to 302,680.50 and 664,404 is: 1,458,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,680.50 : 664,404 = 664,404 : x
  2. Step 2: Convert to fraction form
    302,680.50/664,404 = 664,404/x
  3. Step 3: Cross multiply
    302,680.50x = 664,404 × 664,404
  4. Step 4: Simplify right side
    302,680.50x = 441,432,675,216
  5. Step 5: Solve for x
    x = 441,432,675,216/302,680.50
  6. Step 6: Final answer
    x = 1,458,411.35

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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.