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Finding the Third Proportional to 187,619 and 410,933

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Solution

The third proportional to 187,619 and 410,933 is: 900,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,619 : 410,933 = 410,933 : x
  2. Step 2: Convert to fraction form
    187,619/410,933 = 410,933/x
  3. Step 3: Cross multiply
    187,619x = 410,933 × 410,933
  4. Step 4: Simplify right side
    187,619x = 168,865,930,489
  5. Step 5: Solve for x
    x = 168,865,930,489/187,619
  6. Step 6: Final answer
    x = 900,047.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.