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Finding the Third Proportional to 367,129 and 754,022

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Solution

The third proportional to 367,129 and 754,022 is: 1,548,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,129 : 754,022 = 754,022 : x
  2. Step 2: Convert to fraction form
    367,129/754,022 = 754,022/x
  3. Step 3: Cross multiply
    367,129x = 754,022 × 754,022
  4. Step 4: Simplify right side
    367,129x = 568,549,176,484
  5. Step 5: Solve for x
    x = 568,549,176,484/367,129
  6. Step 6: Final answer
    x = 1,548,635.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.