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Finding the Third Proportional to 270,198 and 625,518

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Solution

The third proportional to 270,198 and 625,518 is: 1,448,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198 : 625,518 = 625,518 : x
  2. Step 2: Convert to fraction form
    270,198/625,518 = 625,518/x
  3. Step 3: Cross multiply
    270,198x = 625,518 × 625,518
  4. Step 4: Simplify right side
    270,198x = 391,272,768,324
  5. Step 5: Solve for x
    x = 391,272,768,324/270,198
  6. Step 6: Final answer
    x = 1,448,096.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.