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Finding the Third Proportional to 213,482 and 458,622

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Solution

The third proportional to 213,482 and 458,622 is: 985,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,482 : 458,622 = 458,622 : x
  2. Step 2: Convert to fraction form
    213,482/458,622 = 458,622/x
  3. Step 3: Cross multiply
    213,482x = 458,622 × 458,622
  4. Step 4: Simplify right side
    213,482x = 210,334,138,884
  5. Step 5: Solve for x
    x = 210,334,138,884/213,482
  6. Step 6: Final answer
    x = 985,254.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.