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Finding the Third Proportional to 313,851 and 402,976

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Solution

The third proportional to 313,851 and 402,976 is: 517,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,851 : 402,976 = 402,976 : x
  2. Step 2: Convert to fraction form
    313,851/402,976 = 402,976/x
  3. Step 3: Cross multiply
    313,851x = 402,976 × 402,976
  4. Step 4: Simplify right side
    313,851x = 162,389,656,576
  5. Step 5: Solve for x
    x = 162,389,656,576/313,851
  6. Step 6: Final answer
    x = 517,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.