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Finding the Third Proportional to 304,819.50 and 663,945

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Solution

The third proportional to 304,819.50 and 663,945 is: 1,446,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,819.50 : 663,945 = 663,945 : x
  2. Step 2: Convert to fraction form
    304,819.50/663,945 = 663,945/x
  3. Step 3: Cross multiply
    304,819.50x = 663,945 × 663,945
  4. Step 4: Simplify right side
    304,819.50x = 440,822,963,025
  5. Step 5: Solve for x
    x = 440,822,963,025/304,819.50
  6. Step 6: Final answer
    x = 1,446,177.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.