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Finding the Third Proportional to 598,638 and 929,436

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Solution

The third proportional to 598,638 and 929,436 is: 1,443,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,638 : 929,436 = 929,436 : x
  2. Step 2: Convert to fraction form
    598,638/929,436 = 929,436/x
  3. Step 3: Cross multiply
    598,638x = 929,436 × 929,436
  4. Step 4: Simplify right side
    598,638x = 863,851,278,096
  5. Step 5: Solve for x
    x = 863,851,278,096/598,638
  6. Step 6: Final answer
    x = 1,443,027.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.