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Finding the Third Proportional to 526,254.75 and 794,118.75

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Solution

The third proportional to 526,254.75 and 794,118.75 is: 1,198,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,254.75 : 794,118.75 = 794,118.75 : x
  2. Step 2: Convert to fraction form
    526,254.75/794,118.75 = 794,118.75/x
  3. Step 3: Cross multiply
    526,254.75x = 794,118.75 × 794,118.75
  4. Step 4: Simplify right side
    526,254.75x = 630,624,589,101.56
  5. Step 5: Solve for x
    x = 630,624,589,101.56/526,254.75
  6. Step 6: Final answer
    x = 1,198,325.70

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