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Finding the Third Proportional to 214,532 and 462,287.75

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Solution

The third proportional to 214,532 and 462,287.75 is: 996,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,532 : 462,287.75 = 462,287.75 : x
  2. Step 2: Convert to fraction form
    214,532/462,287.75 = 462,287.75/x
  3. Step 3: Cross multiply
    214,532x = 462,287.75 × 462,287.75
  4. Step 4: Simplify right side
    214,532x = 213,709,963,800.06
  5. Step 5: Solve for x
    x = 213,709,963,800.06/214,532
  6. Step 6: Final answer
    x = 996,168.24

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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.