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Finding the Third Proportional to 187,274 and 409,582

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Solution

The third proportional to 187,274 and 409,582 is: 895,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,274 : 409,582 = 409,582 : x
  2. Step 2: Convert to fraction form
    187,274/409,582 = 409,582/x
  3. Step 3: Cross multiply
    187,274x = 409,582 × 409,582
  4. Step 4: Simplify right side
    187,274x = 167,757,414,724
  5. Step 5: Solve for x
    x = 167,757,414,724/187,274
  6. Step 6: Final answer
    x = 895,785.93

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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.