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Finding the Third Proportional to 443,380 and 949,760

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Solution

The third proportional to 443,380 and 949,760 is: 2,034,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,380 : 949,760 = 949,760 : x
  2. Step 2: Convert to fraction form
    443,380/949,760 = 949,760/x
  3. Step 3: Cross multiply
    443,380x = 949,760 × 949,760
  4. Step 4: Simplify right side
    443,380x = 902,044,057,600
  5. Step 5: Solve for x
    x = 902,044,057,600/443,380
  6. Step 6: Final answer
    x = 2,034,471.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.