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Finding the Third Proportional to 273,470.88 and 413,979.25

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Solution

The third proportional to 273,470.88 and 413,979.25 is: 626,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,470.88 : 413,979.25 = 413,979.25 : x
  2. Step 2: Convert to fraction form
    273,470.88/413,979.25 = 413,979.25/x
  3. Step 3: Cross multiply
    273,470.88x = 413,979.25 × 413,979.25
  4. Step 4: Simplify right side
    273,470.88x = 171,378,819,430.56
  5. Step 5: Solve for x
    x = 171,378,819,430.56/273,470.88
  6. Step 6: Final answer
    x = 626,680.33

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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.