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Finding the Third Proportional to 268,380 and 424,436

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Solution

The third proportional to 268,380 and 424,436 is: 671,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,380 : 424,436 = 424,436 : x
  2. Step 2: Convert to fraction form
    268,380/424,436 = 424,436/x
  3. Step 3: Cross multiply
    268,380x = 424,436 × 424,436
  4. Step 4: Simplify right side
    268,380x = 180,145,918,096
  5. Step 5: Solve for x
    x = 180,145,918,096/268,380
  6. Step 6: Final answer
    x = 671,234.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.