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Finding the Third Proportional to 379,180 and 572,802

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Solution

The third proportional to 379,180 and 572,802 is: 865,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,180 : 572,802 = 572,802 : x
  2. Step 2: Convert to fraction form
    379,180/572,802 = 572,802/x
  3. Step 3: Cross multiply
    379,180x = 572,802 × 572,802
  4. Step 4: Simplify right side
    379,180x = 328,102,131,204
  5. Step 5: Solve for x
    x = 328,102,131,204/379,180
  6. Step 6: Final answer
    x = 865,293.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.