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Finding the Third Proportional to 336,104 and 504,521

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Solution

The third proportional to 336,104 and 504,521 is: 757,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,104 : 504,521 = 504,521 : x
  2. Step 2: Convert to fraction form
    336,104/504,521 = 504,521/x
  3. Step 3: Cross multiply
    336,104x = 504,521 × 504,521
  4. Step 4: Simplify right side
    336,104x = 254,541,439,441
  5. Step 5: Solve for x
    x = 254,541,439,441/336,104
  6. Step 6: Final answer
    x = 757,329.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.