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Finding the Third Proportional to 264,156 and 576,456

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Solution

The third proportional to 264,156 and 576,456 is: 1,257,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,156 : 576,456 = 576,456 : x
  2. Step 2: Convert to fraction form
    264,156/576,456 = 576,456/x
  3. Step 3: Cross multiply
    264,156x = 576,456 × 576,456
  4. Step 4: Simplify right side
    264,156x = 332,301,519,936
  5. Step 5: Solve for x
    x = 332,301,519,936/264,156
  6. Step 6: Final answer
    x = 1,257,974.53

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