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Finding the Third Proportional to 526,606 and 794,544

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Solution

The third proportional to 526,606 and 794,544 is: 1,198,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,606 : 794,544 = 794,544 : x
  2. Step 2: Convert to fraction form
    526,606/794,544 = 794,544/x
  3. Step 3: Cross multiply
    526,606x = 794,544 × 794,544
  4. Step 4: Simplify right side
    526,606x = 631,300,167,936
  5. Step 5: Solve for x
    x = 631,300,167,936/526,606
  6. Step 6: Final answer
    x = 1,198,809.30

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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.