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Finding the Third Proportional to 297,360.75 and 478,794.75

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Solution

The third proportional to 297,360.75 and 478,794.75 is: 770,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,360.75 : 478,794.75 = 478,794.75 : x
  2. Step 2: Convert to fraction form
    297,360.75/478,794.75 = 478,794.75/x
  3. Step 3: Cross multiply
    297,360.75x = 478,794.75 × 478,794.75
  4. Step 4: Simplify right side
    297,360.75x = 229,244,412,627.56
  5. Step 5: Solve for x
    x = 229,244,412,627.56/297,360.75
  6. Step 6: Final answer
    x = 770,930.30

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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.