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Finding the Third Proportional to 271,234.50 and 590,685

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Solution

The third proportional to 271,234.50 and 590,685 is: 1,286,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,234.50 : 590,685 = 590,685 : x
  2. Step 2: Convert to fraction form
    271,234.50/590,685 = 590,685/x
  3. Step 3: Cross multiply
    271,234.50x = 590,685 × 590,685
  4. Step 4: Simplify right side
    271,234.50x = 348,908,769,225
  5. Step 5: Solve for x
    x = 348,908,769,225/271,234.50
  6. Step 6: Final answer
    x = 1,286,373.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.