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Finding the Third Proportional to 526,400.25 and 794,340.75

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Solution

The third proportional to 526,400.25 and 794,340.75 is: 1,198,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,400.25 : 794,340.75 = 794,340.75 : x
  2. Step 2: Convert to fraction form
    526,400.25/794,340.75 = 794,340.75/x
  3. Step 3: Cross multiply
    526,400.25x = 794,340.75 × 794,340.75
  4. Step 4: Simplify right side
    526,400.25x = 630,977,227,110.56
  5. Step 5: Solve for x
    x = 630,977,227,110.56/526,400.25
  6. Step 6: Final answer
    x = 1,198,664.38

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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.