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Finding the Third Proportional to 213,212 and 458,688

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Solution

The third proportional to 213,212 and 458,688 is: 986,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,212 : 458,688 = 458,688 : x
  2. Step 2: Convert to fraction form
    213,212/458,688 = 458,688/x
  3. Step 3: Cross multiply
    213,212x = 458,688 × 458,688
  4. Step 4: Simplify right side
    213,212x = 210,394,681,344
  5. Step 5: Solve for x
    x = 210,394,681,344/213,212
  6. Step 6: Final answer
    x = 986,786.30

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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.