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Finding the Third Proportional to 214,541 and 462,804

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Solution

The third proportional to 214,541 and 462,804 is: 998,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,541 : 462,804 = 462,804 : x
  2. Step 2: Convert to fraction form
    214,541/462,804 = 462,804/x
  3. Step 3: Cross multiply
    214,541x = 462,804 × 462,804
  4. Step 4: Simplify right side
    214,541x = 214,187,542,416
  5. Step 5: Solve for x
    x = 214,187,542,416/214,541
  6. Step 6: Final answer
    x = 998,352.49

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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.