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Finding the Third Proportional to 354,076 and 541,436

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Solution

The third proportional to 354,076 and 541,436 is: 827,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,076 : 541,436 = 541,436 : x
  2. Step 2: Convert to fraction form
    354,076/541,436 = 541,436/x
  3. Step 3: Cross multiply
    354,076x = 541,436 × 541,436
  4. Step 4: Simplify right side
    354,076x = 293,152,942,096
  5. Step 5: Solve for x
    x = 293,152,942,096/354,076
  6. Step 6: Final answer
    x = 827,937.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.