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Finding the Third Proportional to 273,598 and 437,085

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Solution

The third proportional to 273,598 and 437,085 is: 698,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,598 : 437,085 = 437,085 : x
  2. Step 2: Convert to fraction form
    273,598/437,085 = 437,085/x
  3. Step 3: Cross multiply
    273,598x = 437,085 × 437,085
  4. Step 4: Simplify right side
    273,598x = 191,043,297,225
  5. Step 5: Solve for x
    x = 191,043,297,225/273,598
  6. Step 6: Final answer
    x = 698,262.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.