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Finding the Third Proportional to 304,575.75 and 446,474.25

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Solution

The third proportional to 304,575.75 and 446,474.25 is: 654,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,575.75 : 446,474.25 = 446,474.25 : x
  2. Step 2: Convert to fraction form
    304,575.75/446,474.25 = 446,474.25/x
  3. Step 3: Cross multiply
    304,575.75x = 446,474.25 × 446,474.25
  4. Step 4: Simplify right side
    304,575.75x = 199,339,255,913.06
  5. Step 5: Solve for x
    x = 199,339,255,913.06/304,575.75
  6. Step 6: Final answer
    x = 654,481.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.