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Finding the Third Proportional to 331,524.85 and 506,800.94

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Solution

The third proportional to 331,524.85 and 506,800.94 is: 774,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,524.85 : 506,800.94 = 506,800.94 : x
  2. Step 2: Convert to fraction form
    331,524.85/506,800.94 = 506,800.94/x
  3. Step 3: Cross multiply
    331,524.85x = 506,800.94 × 506,800.94
  4. Step 4: Simplify right side
    331,524.85x = 256,847,195,200.11
  5. Step 5: Solve for x
    x = 256,847,195,200.11/331,524.85
  6. Step 6: Final answer
    x = 774,744.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.