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Finding the Third Proportional to 259,773 and 388,617

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Solution

The third proportional to 259,773 and 388,617 is: 581,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,773 : 388,617 = 388,617 : x
  2. Step 2: Convert to fraction form
    259,773/388,617 = 388,617/x
  3. Step 3: Cross multiply
    259,773x = 388,617 × 388,617
  4. Step 4: Simplify right side
    259,773x = 151,023,172,689
  5. Step 5: Solve for x
    x = 151,023,172,689/259,773
  6. Step 6: Final answer
    x = 581,365.93

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Why These Related Problems?

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