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Finding the Third Proportional to 270,022 and 590,876

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Solution

The third proportional to 270,022 and 590,876 is: 1,292,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,022 : 590,876 = 590,876 : x
  2. Step 2: Convert to fraction form
    270,022/590,876 = 590,876/x
  3. Step 3: Cross multiply
    270,022x = 590,876 × 590,876
  4. Step 4: Simplify right side
    270,022x = 349,134,447,376
  5. Step 5: Solve for x
    x = 349,134,447,376/270,022
  6. Step 6: Final answer
    x = 1,292,985.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.