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Finding the Third Proportional to 526,474.69 and 794,422.69

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Solution

The third proportional to 526,474.69 and 794,422.69 is: 1,198,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,474.69 : 794,422.69 = 794,422.69 : x
  2. Step 2: Convert to fraction form
    526,474.69/794,422.69 = 794,422.69/x
  3. Step 3: Cross multiply
    526,474.69x = 794,422.69 × 794,422.69
  4. Step 4: Simplify right side
    526,474.69x = 631,107,406,414.72
  5. Step 5: Solve for x
    x = 631,107,406,414.72/526,474.69
  6. Step 6: Final answer
    x = 1,198,742.16

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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.