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Finding the Third Proportional to 331,158 and 524,601

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Solution

The third proportional to 331,158 and 524,601 is: 831,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,158 : 524,601 = 524,601 : x
  2. Step 2: Convert to fraction form
    331,158/524,601 = 524,601/x
  3. Step 3: Cross multiply
    331,158x = 524,601 × 524,601
  4. Step 4: Simplify right side
    331,158x = 275,206,209,201
  5. Step 5: Solve for x
    x = 275,206,209,201/331,158
  6. Step 6: Final answer
    x = 831,042.01

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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.