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Finding the Third Proportional to 379,156 and 576,537

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Solution

The third proportional to 379,156 and 576,537 is: 876,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,156 : 576,537 = 576,537 : x
  2. Step 2: Convert to fraction form
    379,156/576,537 = 576,537/x
  3. Step 3: Cross multiply
    379,156x = 576,537 × 576,537
  4. Step 4: Simplify right side
    379,156x = 332,394,912,369
  5. Step 5: Solve for x
    x = 332,394,912,369/379,156
  6. Step 6: Final answer
    x = 876,670.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.