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Finding the Third Proportional to 273,692 and 435,836

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Solution

The third proportional to 273,692 and 435,836 is: 694,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,692 : 435,836 = 435,836 : x
  2. Step 2: Convert to fraction form
    273,692/435,836 = 435,836/x
  3. Step 3: Cross multiply
    273,692x = 435,836 × 435,836
  4. Step 4: Simplify right side
    273,692x = 189,953,018,896
  5. Step 5: Solve for x
    x = 189,953,018,896/273,692
  6. Step 6: Final answer
    x = 694,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.