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Finding the Third Proportional to 526,854 and 794,825

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Solution

The third proportional to 526,854 and 794,825 is: 1,199,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,854 : 794,825 = 794,825 : x
  2. Step 2: Convert to fraction form
    526,854/794,825 = 794,825/x
  3. Step 3: Cross multiply
    526,854x = 794,825 × 794,825
  4. Step 4: Simplify right side
    526,854x = 631,746,780,625
  5. Step 5: Solve for x
    x = 631,746,780,625/526,854
  6. Step 6: Final answer
    x = 1,199,092.69

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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.