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Finding the Third Proportional to 367,125 and 754,014

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Solution

The third proportional to 367,125 and 754,014 is: 1,548,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,125 : 754,014 = 754,014 : x
  2. Step 2: Convert to fraction form
    367,125/754,014 = 754,014/x
  3. Step 3: Cross multiply
    367,125x = 754,014 × 754,014
  4. Step 4: Simplify right side
    367,125x = 568,537,112,196
  5. Step 5: Solve for x
    x = 568,537,112,196/367,125
  6. Step 6: Final answer
    x = 1,548,619.99

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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.