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Finding the Third Proportional to 187,406 and 409,763

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Solution

The third proportional to 187,406 and 409,763 is: 895,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,406 : 409,763 = 409,763 : x
  2. Step 2: Convert to fraction form
    187,406/409,763 = 409,763/x
  3. Step 3: Cross multiply
    187,406x = 409,763 × 409,763
  4. Step 4: Simplify right side
    187,406x = 167,905,716,169
  5. Step 5: Solve for x
    x = 167,905,716,169/187,406
  6. Step 6: Final answer
    x = 895,946.32

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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.