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Finding the Third Proportional to 270,401.63 and 625,961.25

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Solution

The third proportional to 270,401.63 and 625,961.25 is: 1,449,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,401.63 : 625,961.25 = 625,961.25 : x
  2. Step 2: Convert to fraction form
    270,401.63/625,961.25 = 625,961.25/x
  3. Step 3: Cross multiply
    270,401.63x = 625,961.25 × 625,961.25
  4. Step 4: Simplify right side
    270,401.63x = 391,827,486,501.56
  5. Step 5: Solve for x
    x = 391,827,486,501.56/270,401.63
  6. Step 6: Final answer
    x = 1,449,057.44

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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.