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Finding the Third Proportional to 270,022 and 625,123

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Solution

The third proportional to 270,022 and 625,123 is: 1,447,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,022 : 625,123 = 625,123 : x
  2. Step 2: Convert to fraction form
    270,022/625,123 = 625,123/x
  3. Step 3: Cross multiply
    270,022x = 625,123 × 625,123
  4. Step 4: Simplify right side
    270,022x = 390,778,765,129
  5. Step 5: Solve for x
    x = 390,778,765,129/270,022
  6. Step 6: Final answer
    x = 1,447,210.84

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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.