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Finding the Third Proportional to 213,202 and 458,672

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Solution

The third proportional to 213,202 and 458,672 is: 986,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,202 : 458,672 = 458,672 : x
  2. Step 2: Convert to fraction form
    213,202/458,672 = 458,672/x
  3. Step 3: Cross multiply
    213,202x = 458,672 × 458,672
  4. Step 4: Simplify right side
    213,202x = 210,380,003,584
  5. Step 5: Solve for x
    x = 210,380,003,584/213,202
  6. Step 6: Final answer
    x = 986,763.74

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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.