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Finding the Third Proportional to 259,740 and 389,610

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Solution

The third proportional to 259,740 and 389,610 is: 584,415

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740 : 389,610 = 389,610 : x
  2. Step 2: Convert to fraction form
    259,740/389,610 = 389,610/x
  3. Step 3: Cross multiply
    259,740x = 389,610 × 389,610
  4. Step 4: Simplify right side
    259,740x = 151,795,952,100
  5. Step 5: Solve for x
    x = 151,795,952,100/259,740
  6. Step 6: Final answer
    x = 584,415

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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.