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Finding the Third Proportional to 313,026 and 452,181

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Solution

The third proportional to 313,026 and 452,181 is: 653,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,026 : 452,181 = 452,181 : x
  2. Step 2: Convert to fraction form
    313,026/452,181 = 452,181/x
  3. Step 3: Cross multiply
    313,026x = 452,181 × 452,181
  4. Step 4: Simplify right side
    313,026x = 204,467,656,761
  5. Step 5: Solve for x
    x = 204,467,656,761/313,026
  6. Step 6: Final answer
    x = 653,197.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.