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Finding the Third Proportional to 526,401.75 and 794,343

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Solution

The third proportional to 526,401.75 and 794,343 is: 1,198,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,401.75 : 794,343 = 794,343 : x
  2. Step 2: Convert to fraction form
    526,401.75/794,343 = 794,343/x
  3. Step 3: Cross multiply
    526,401.75x = 794,343 × 794,343
  4. Step 4: Simplify right side
    526,401.75x = 630,980,801,649
  5. Step 5: Solve for x
    x = 630,980,801,649/526,401.75
  6. Step 6: Final answer
    x = 1,198,667.75

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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.