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Finding the Third Proportional to 197,916 and 466,737

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Solution

The third proportional to 197,916 and 466,737 is: 1,100,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,916 : 466,737 = 466,737 : x
  2. Step 2: Convert to fraction form
    197,916/466,737 = 466,737/x
  3. Step 3: Cross multiply
    197,916x = 466,737 × 466,737
  4. Step 4: Simplify right side
    197,916x = 217,843,427,169
  5. Step 5: Solve for x
    x = 217,843,427,169/197,916
  6. Step 6: Final answer
    x = 1,100,686.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.