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Finding the Third Proportional to 376,274 and 576,399

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Solution

The third proportional to 376,274 and 576,399 is: 882,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,274 : 576,399 = 576,399 : x
  2. Step 2: Convert to fraction form
    376,274/576,399 = 576,399/x
  3. Step 3: Cross multiply
    376,274x = 576,399 × 576,399
  4. Step 4: Simplify right side
    376,274x = 332,235,807,201
  5. Step 5: Solve for x
    x = 332,235,807,201/376,274
  6. Step 6: Final answer
    x = 882,962.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.