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Finding the Third Proportional to 367,127 and 754,018

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Solution

The third proportional to 367,127 and 754,018 is: 1,548,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,127 : 754,018 = 754,018 : x
  2. Step 2: Convert to fraction form
    367,127/754,018 = 754,018/x
  3. Step 3: Cross multiply
    367,127x = 754,018 × 754,018
  4. Step 4: Simplify right side
    367,127x = 568,543,144,324
  5. Step 5: Solve for x
    x = 568,543,144,324/367,127
  6. Step 6: Final answer
    x = 1,548,627.98

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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.