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Finding the Third Proportional to 214,551 and 462,828

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Solution

The third proportional to 214,551 and 462,828 is: 998,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,551 : 462,828 = 462,828 : x
  2. Step 2: Convert to fraction form
    214,551/462,828 = 462,828/x
  3. Step 3: Cross multiply
    214,551x = 462,828 × 462,828
  4. Step 4: Simplify right side
    214,551x = 214,209,757,584
  5. Step 5: Solve for x
    x = 214,209,757,584/214,551
  6. Step 6: Final answer
    x = 998,409.50

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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.