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Finding the Third Proportional to 367,134 and 754,032

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Solution

The third proportional to 367,134 and 754,032 is: 1,548,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,134 : 754,032 = 754,032 : x
  2. Step 2: Convert to fraction form
    367,134/754,032 = 754,032/x
  3. Step 3: Cross multiply
    367,134x = 754,032 × 754,032
  4. Step 4: Simplify right side
    367,134x = 568,564,257,024
  5. Step 5: Solve for x
    x = 568,564,257,024/367,134
  6. Step 6: Final answer
    x = 1,548,655.96

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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.