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Finding the Third Proportional to 304,434.75 and 489,174.75

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Solution

The third proportional to 304,434.75 and 489,174.75 is: 786,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,434.75 : 489,174.75 = 489,174.75 : x
  2. Step 2: Convert to fraction form
    304,434.75/489,174.75 = 489,174.75/x
  3. Step 3: Cross multiply
    304,434.75x = 489,174.75 × 489,174.75
  4. Step 4: Simplify right side
    304,434.75x = 239,291,936,037.56
  5. Step 5: Solve for x
    x = 239,291,936,037.56/304,434.75
  6. Step 6: Final answer
    x = 786,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.