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Finding the Third Proportional to 297,360.50 and 478,794

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Solution

The third proportional to 297,360.50 and 478,794 is: 770,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,360.50 : 478,794 = 478,794 : x
  2. Step 2: Convert to fraction form
    297,360.50/478,794 = 478,794/x
  3. Step 3: Cross multiply
    297,360.50x = 478,794 × 478,794
  4. Step 4: Simplify right side
    297,360.50x = 229,243,694,436
  5. Step 5: Solve for x
    x = 229,243,694,436/297,360.50
  6. Step 6: Final answer
    x = 770,928.53

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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.