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Finding the Third Proportional to 271,707.75 and 597,199.50

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Solution

The third proportional to 271,707.75 and 597,199.50 is: 1,312,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,707.75 : 597,199.50 = 597,199.50 : x
  2. Step 2: Convert to fraction form
    271,707.75/597,199.50 = 597,199.50/x
  3. Step 3: Cross multiply
    271,707.75x = 597,199.50 × 597,199.50
  4. Step 4: Simplify right side
    271,707.75x = 356,647,242,800.25
  5. Step 5: Solve for x
    x = 356,647,242,800.25/271,707.75
  6. Step 6: Final answer
    x = 1,312,613.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.