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Finding the Third Proportional to 295,470 and 443,115

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Solution

The third proportional to 295,470 and 443,115 is: 664,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,470 : 443,115 = 443,115 : x
  2. Step 2: Convert to fraction form
    295,470/443,115 = 443,115/x
  3. Step 3: Cross multiply
    295,470x = 443,115 × 443,115
  4. Step 4: Simplify right side
    295,470x = 196,350,903,225
  5. Step 5: Solve for x
    x = 196,350,903,225/295,470
  6. Step 6: Final answer
    x = 664,537.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.