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Finding the Third Proportional to 273,264.75 and 413,709.75

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Solution

The third proportional to 273,264.75 and 413,709.75 is: 626,336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,264.75 : 413,709.75 = 413,709.75 : x
  2. Step 2: Convert to fraction form
    273,264.75/413,709.75 = 413,709.75/x
  3. Step 3: Cross multiply
    273,264.75x = 413,709.75 × 413,709.75
  4. Step 4: Simplify right side
    273,264.75x = 171,155,757,245.06
  5. Step 5: Solve for x
    x = 171,155,757,245.06/273,264.75
  6. Step 6: Final answer
    x = 626,336.76

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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.