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Finding the Third Proportional to 367,114 and 753,990

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Solution

The third proportional to 367,114 and 753,990 is: 1,548,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,114 : 753,990 = 753,990 : x
  2. Step 2: Convert to fraction form
    367,114/753,990 = 753,990/x
  3. Step 3: Cross multiply
    367,114x = 753,990 × 753,990
  4. Step 4: Simplify right side
    367,114x = 568,500,920,100
  5. Step 5: Solve for x
    x = 568,500,920,100/367,114
  6. Step 6: Final answer
    x = 1,548,567.80

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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.