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Finding the Third Proportional to 526,669 and 794,651

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Solution

The third proportional to 526,669 and 794,651 is: 1,198,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,669 : 794,651 = 794,651 : x
  2. Step 2: Convert to fraction form
    526,669/794,651 = 794,651/x
  3. Step 3: Cross multiply
    526,669x = 794,651 × 794,651
  4. Step 4: Simplify right side
    526,669x = 631,470,211,801
  5. Step 5: Solve for x
    x = 631,470,211,801/526,669
  6. Step 6: Final answer
    x = 1,198,988.76

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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.