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Finding the Third Proportional to 270,251 and 625,557

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Solution

The third proportional to 270,251 and 625,557 is: 1,447,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,251 : 625,557 = 625,557 : x
  2. Step 2: Convert to fraction form
    270,251/625,557 = 625,557/x
  3. Step 3: Cross multiply
    270,251x = 625,557 × 625,557
  4. Step 4: Simplify right side
    270,251x = 391,321,560,249
  5. Step 5: Solve for x
    x = 391,321,560,249/270,251
  6. Step 6: Final answer
    x = 1,447,993.01

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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.