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Finding the Third Proportional to 587,539 and 792,729

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Solution

The third proportional to 587,539 and 792,729 is: 1,069,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,539 : 792,729 = 792,729 : x
  2. Step 2: Convert to fraction form
    587,539/792,729 = 792,729/x
  3. Step 3: Cross multiply
    587,539x = 792,729 × 792,729
  4. Step 4: Simplify right side
    587,539x = 628,419,267,441
  5. Step 5: Solve for x
    x = 628,419,267,441/587,539
  6. Step 6: Final answer
    x = 1,069,578.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.