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Finding the Third Proportional to 289,199 and 596,845

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Solution

The third proportional to 289,199 and 596,845 is: 1,231,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,199 : 596,845 = 596,845 : x
  2. Step 2: Convert to fraction form
    289,199/596,845 = 596,845/x
  3. Step 3: Cross multiply
    289,199x = 596,845 × 596,845
  4. Step 4: Simplify right side
    289,199x = 356,223,954,025
  5. Step 5: Solve for x
    x = 356,223,954,025/289,199
  6. Step 6: Final answer
    x = 1,231,760.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.