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Finding the Third Proportional to 351,972 and 466,722

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Solution

The third proportional to 351,972 and 466,722 is: 618,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,972 : 466,722 = 466,722 : x
  2. Step 2: Convert to fraction form
    351,972/466,722 = 466,722/x
  3. Step 3: Cross multiply
    351,972x = 466,722 × 466,722
  4. Step 4: Simplify right side
    351,972x = 217,829,425,284
  5. Step 5: Solve for x
    x = 217,829,425,284/351,972
  6. Step 6: Final answer
    x = 618,882.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.