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Finding the Third Proportional to 214,570.69 and 324,617.63

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Solution

The third proportional to 214,570.69 and 324,617.63 is: 491,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,570.69 : 324,617.63 = 324,617.63 : x
  2. Step 2: Convert to fraction form
    214,570.69/324,617.63 = 324,617.63/x
  3. Step 3: Cross multiply
    214,570.69x = 324,617.63 × 324,617.63
  4. Step 4: Simplify right side
    214,570.69x = 105,376,602,460.64
  5. Step 5: Solve for x
    x = 105,376,602,460.64/214,570.69
  6. Step 6: Final answer
    x = 491,104.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.