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Finding the Third Proportional to 270,383.63 and 625,919.63

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Solution

The third proportional to 270,383.63 and 625,919.63 is: 1,448,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,383.63 : 625,919.63 = 625,919.63 : x
  2. Step 2: Convert to fraction form
    270,383.63/625,919.63 = 625,919.63/x
  3. Step 3: Cross multiply
    270,383.63x = 625,919.63 × 625,919.63
  4. Step 4: Simplify right side
    270,383.63x = 391,775,376,960.14
  5. Step 5: Solve for x
    x = 391,775,376,960.14/270,383.63
  6. Step 6: Final answer
    x = 1,448,961.18

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