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Finding the Third Proportional to 270,002 and 625,073

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Solution

The third proportional to 270,002 and 625,073 is: 1,447,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,002 : 625,073 = 625,073 : x
  2. Step 2: Convert to fraction form
    270,002/625,073 = 625,073/x
  3. Step 3: Cross multiply
    270,002x = 625,073 × 625,073
  4. Step 4: Simplify right side
    270,002x = 390,716,255,329
  5. Step 5: Solve for x
    x = 390,716,255,329/270,002
  6. Step 6: Final answer
    x = 1,447,086.52

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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.