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Finding the Third Proportional to 367,093 and 753,953

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Solution

The third proportional to 367,093 and 753,953 is: 1,548,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,093 : 753,953 = 753,953 : x
  2. Step 2: Convert to fraction form
    367,093/753,953 = 753,953/x
  3. Step 3: Cross multiply
    367,093x = 753,953 × 753,953
  4. Step 4: Simplify right side
    367,093x = 568,445,126,209
  5. Step 5: Solve for x
    x = 568,445,126,209/367,093
  6. Step 6: Final answer
    x = 1,548,504.40

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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.