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Finding the Third Proportional to 526,462 and 794,431

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Solution

The third proportional to 526,462 and 794,431 is: 1,198,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,462 : 794,431 = 794,431 : x
  2. Step 2: Convert to fraction form
    526,462/794,431 = 794,431/x
  3. Step 3: Cross multiply
    526,462x = 794,431 × 794,431
  4. Step 4: Simplify right side
    526,462x = 631,120,613,761
  5. Step 5: Solve for x
    x = 631,120,613,761/526,462
  6. Step 6: Final answer
    x = 1,198,796.14

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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.