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Finding the Third Proportional to 260,523 and 389,691

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Solution

The third proportional to 260,523 and 389,691 is: 582,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,523 : 389,691 = 389,691 : x
  2. Step 2: Convert to fraction form
    260,523/389,691 = 389,691/x
  3. Step 3: Cross multiply
    260,523x = 389,691 × 389,691
  4. Step 4: Simplify right side
    260,523x = 151,859,075,481
  5. Step 5: Solve for x
    x = 151,859,075,481/260,523
  6. Step 6: Final answer
    x = 582,900.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.