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Finding the Third Proportional to 289,512 and 447,391.50

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Solution

The third proportional to 289,512 and 447,391.50 is: 691,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,512 : 447,391.50 = 447,391.50 : x
  2. Step 2: Convert to fraction form
    289,512/447,391.50 = 447,391.50/x
  3. Step 3: Cross multiply
    289,512x = 447,391.50 × 447,391.50
  4. Step 4: Simplify right side
    289,512x = 200,159,154,272.25
  5. Step 5: Solve for x
    x = 200,159,154,272.25/289,512
  6. Step 6: Final answer
    x = 691,367.38

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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.