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Finding the Third Proportional to 271,206.56 and 409,271.06

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Solution

The third proportional to 271,206.56 and 409,271.06 is: 617,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,206.56 : 409,271.06 = 409,271.06 : x
  2. Step 2: Convert to fraction form
    271,206.56/409,271.06 = 409,271.06/x
  3. Step 3: Cross multiply
    271,206.56x = 409,271.06 × 409,271.06
  4. Step 4: Simplify right side
    271,206.56x = 167,502,802,599.88
  5. Step 5: Solve for x
    x = 167,502,802,599.88/271,206.56
  6. Step 6: Final answer
    x = 617,620.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.