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Finding the Third Proportional to 335,529.75 and 508,180.88

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Solution

The third proportional to 335,529.75 and 508,180.88 is: 769,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,529.75 : 508,180.88 = 508,180.88 : x
  2. Step 2: Convert to fraction form
    335,529.75/508,180.88 = 508,180.88/x
  3. Step 3: Cross multiply
    335,529.75x = 508,180.88 × 508,180.88
  4. Step 4: Simplify right side
    335,529.75x = 258,247,801,715.77
  5. Step 5: Solve for x
    x = 258,247,801,715.77/335,529.75
  6. Step 6: Final answer
    x = 769,671.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.