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Finding the Third Proportional to 187,276 and 409,586

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Solution

The third proportional to 187,276 and 409,586 is: 895,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,276 : 409,586 = 409,586 : x
  2. Step 2: Convert to fraction form
    187,276/409,586 = 409,586/x
  3. Step 3: Cross multiply
    187,276x = 409,586 × 409,586
  4. Step 4: Simplify right side
    187,276x = 167,760,691,396
  5. Step 5: Solve for x
    x = 167,760,691,396/187,276
  6. Step 6: Final answer
    x = 895,793.86

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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.