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Finding the Third Proportional to 213,273 and 466,722

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Solution

The third proportional to 213,273 and 466,722 is: 1,021,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,273 : 466,722 = 466,722 : x
  2. Step 2: Convert to fraction form
    213,273/466,722 = 466,722/x
  3. Step 3: Cross multiply
    213,273x = 466,722 × 466,722
  4. Step 4: Simplify right side
    213,273x = 217,829,425,284
  5. Step 5: Solve for x
    x = 217,829,425,284/213,273
  6. Step 6: Final answer
    x = 1,021,364.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.