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Finding the Third Proportional to 526,641 and 794,610

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Solution

The third proportional to 526,641 and 794,610 is: 1,198,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,641 : 794,610 = 794,610 : x
  2. Step 2: Convert to fraction form
    526,641/794,610 = 794,610/x
  3. Step 3: Cross multiply
    526,641x = 794,610 × 794,610
  4. Step 4: Simplify right side
    526,641x = 631,405,052,100
  5. Step 5: Solve for x
    x = 631,405,052,100/526,641
  6. Step 6: Final answer
    x = 1,198,928.78

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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.