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Finding the Third Proportional to 467,972.50 and 684,408.25

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Solution

The third proportional to 467,972.50 and 684,408.25 is: 1,000,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,972.50 : 684,408.25 = 684,408.25 : x
  2. Step 2: Convert to fraction form
    467,972.50/684,408.25 = 684,408.25/x
  3. Step 3: Cross multiply
    467,972.50x = 684,408.25 × 684,408.25
  4. Step 4: Simplify right side
    467,972.50x = 468,414,652,668.06
  5. Step 5: Solve for x
    x = 468,414,652,668.06/467,972.50
  6. Step 6: Final answer
    x = 1,000,944.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.