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Finding the Third Proportional to 424,380 and 576,696

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Solution

The third proportional to 424,380 and 576,696 is: 783,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,380 : 576,696 = 576,696 : x
  2. Step 2: Convert to fraction form
    424,380/576,696 = 576,696/x
  3. Step 3: Cross multiply
    424,380x = 576,696 × 576,696
  4. Step 4: Simplify right side
    424,380x = 332,578,276,416
  5. Step 5: Solve for x
    x = 332,578,276,416/424,380
  6. Step 6: Final answer
    x = 783,680.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.