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Finding the Third Proportional to 187,408 and 409,767

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Solution

The third proportional to 187,408 and 409,767 is: 895,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408 : 409,767 = 409,767 : x
  2. Step 2: Convert to fraction form
    187,408/409,767 = 409,767/x
  3. Step 3: Cross multiply
    187,408x = 409,767 × 409,767
  4. Step 4: Simplify right side
    187,408x = 167,908,994,289
  5. Step 5: Solve for x
    x = 167,908,994,289/187,408
  6. Step 6: Final answer
    x = 895,954.25

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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.