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Finding the Third Proportional to 275,236 and 425,381

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Solution

The third proportional to 275,236 and 425,381 is: 657,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,236 : 425,381 = 425,381 : x
  2. Step 2: Convert to fraction form
    275,236/425,381 = 425,381/x
  3. Step 3: Cross multiply
    275,236x = 425,381 × 425,381
  4. Step 4: Simplify right side
    275,236x = 180,948,995,161
  5. Step 5: Solve for x
    x = 180,948,995,161/275,236
  6. Step 6: Final answer
    x = 657,432.15

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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.