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Finding the Third Proportional to 171,210 and 412,460

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Solution

The third proportional to 171,210 and 412,460 is: 993,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,210 : 412,460 = 412,460 : x
  2. Step 2: Convert to fraction form
    171,210/412,460 = 412,460/x
  3. Step 3: Cross multiply
    171,210x = 412,460 × 412,460
  4. Step 4: Simplify right side
    171,210x = 170,123,251,600
  5. Step 5: Solve for x
    x = 170,123,251,600/171,210
  6. Step 6: Final answer
    x = 993,652.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.