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Finding the Third Proportional to 304,263 and 456,504.75

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Solution

The third proportional to 304,263 and 456,504.75 is: 684,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,263 : 456,504.75 = 456,504.75 : x
  2. Step 2: Convert to fraction form
    304,263/456,504.75 = 456,504.75/x
  3. Step 3: Cross multiply
    304,263x = 456,504.75 × 456,504.75
  4. Step 4: Simplify right side
    304,263x = 208,396,586,772.56
  5. Step 5: Solve for x
    x = 208,396,586,772.56/304,263
  6. Step 6: Final answer
    x = 684,922.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.