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Finding the Third Proportional to 214,574 and 324,623

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Solution

The third proportional to 214,574 and 324,623 is: 491,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574 : 324,623 = 324,623 : x
  2. Step 2: Convert to fraction form
    214,574/324,623 = 324,623/x
  3. Step 3: Cross multiply
    214,574x = 324,623 × 324,623
  4. Step 4: Simplify right side
    214,574x = 105,380,092,129
  5. Step 5: Solve for x
    x = 105,380,092,129/214,574
  6. Step 6: Final answer
    x = 491,113.05

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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.