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Finding the Third Proportional to 331,131 and 524,679

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Solution

The third proportional to 331,131 and 524,679 is: 831,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,131 : 524,679 = 524,679 : x
  2. Step 2: Convert to fraction form
    331,131/524,679 = 524,679/x
  3. Step 3: Cross multiply
    331,131x = 524,679 × 524,679
  4. Step 4: Simplify right side
    331,131x = 275,288,053,041
  5. Step 5: Solve for x
    x = 275,288,053,041/331,131
  6. Step 6: Final answer
    x = 831,356.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.