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Finding the Third Proportional to 295,380 and 445,500

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Solution

The third proportional to 295,380 and 445,500 is: 671,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,380 : 445,500 = 445,500 : x
  2. Step 2: Convert to fraction form
    295,380/445,500 = 445,500/x
  3. Step 3: Cross multiply
    295,380x = 445,500 × 445,500
  4. Step 4: Simplify right side
    295,380x = 198,470,250,000
  5. Step 5: Solve for x
    x = 198,470,250,000/295,380
  6. Step 6: Final answer
    x = 671,914.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.