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Finding the Third Proportional to 214,542 and 462,806

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Solution

The third proportional to 214,542 and 462,806 is: 998,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,542 : 462,806 = 462,806 : x
  2. Step 2: Convert to fraction form
    214,542/462,806 = 462,806/x
  3. Step 3: Cross multiply
    214,542x = 462,806 × 462,806
  4. Step 4: Simplify right side
    214,542x = 214,189,393,636
  5. Step 5: Solve for x
    x = 214,189,393,636/214,542
  6. Step 6: Final answer
    x = 998,356.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.