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Finding the Third Proportional to 526,652 and 794,630

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Solution

The third proportional to 526,652 and 794,630 is: 1,198,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,652 : 794,630 = 794,630 : x
  2. Step 2: Convert to fraction form
    526,652/794,630 = 794,630/x
  3. Step 3: Cross multiply
    526,652x = 794,630 × 794,630
  4. Step 4: Simplify right side
    526,652x = 631,436,836,900
  5. Step 5: Solve for x
    x = 631,436,836,900/526,652
  6. Step 6: Final answer
    x = 1,198,964.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.