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Finding the Third Proportional to 271,768.50 and 576,423

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Solution

The third proportional to 271,768.50 and 576,423 is: 1,222,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,768.50 : 576,423 = 576,423 : x
  2. Step 2: Convert to fraction form
    271,768.50/576,423 = 576,423/x
  3. Step 3: Cross multiply
    271,768.50x = 576,423 × 576,423
  4. Step 4: Simplify right side
    271,768.50x = 332,263,474,929
  5. Step 5: Solve for x
    x = 332,263,474,929/271,768.50
  6. Step 6: Final answer
    x = 1,222,597.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.