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Finding the Third Proportional to 273,596 and 437,082

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Solution

The third proportional to 273,596 and 437,082 is: 698,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,596 : 437,082 = 437,082 : x
  2. Step 2: Convert to fraction form
    273,596/437,082 = 437,082/x
  3. Step 3: Cross multiply
    273,596x = 437,082 × 437,082
  4. Step 4: Simplify right side
    273,596x = 191,040,674,724
  5. Step 5: Solve for x
    x = 191,040,674,724/273,596
  6. Step 6: Final answer
    x = 698,258.29

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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.