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Finding the Third Proportional to 270,383.06 and 625,919.06

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Solution

The third proportional to 270,383.06 and 625,919.06 is: 1,448,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,383.06 : 625,919.06 = 625,919.06 : x
  2. Step 2: Convert to fraction form
    270,383.06/625,919.06 = 625,919.06/x
  3. Step 3: Cross multiply
    270,383.06x = 625,919.06 × 625,919.06
  4. Step 4: Simplify right side
    270,383.06x = 391,774,672,800.88
  5. Step 5: Solve for x
    x = 391,774,672,800.88/270,383.06
  6. Step 6: Final answer
    x = 1,448,961.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.