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Finding the Third Proportional to 526,569 and 793,569

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Solution

The third proportional to 526,569 and 793,569 is: 1,195,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,569 : 793,569 = 793,569 : x
  2. Step 2: Convert to fraction form
    526,569/793,569 = 793,569/x
  3. Step 3: Cross multiply
    526,569x = 793,569 × 793,569
  4. Step 4: Simplify right side
    526,569x = 629,751,757,761
  5. Step 5: Solve for x
    x = 629,751,757,761/526,569
  6. Step 6: Final answer
    x = 1,195,952.97

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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.