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Finding the Third Proportional to 259,405.50 and 400,617

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Solution

The third proportional to 259,405.50 and 400,617 is: 618,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,405.50 : 400,617 = 400,617 : x
  2. Step 2: Convert to fraction form
    259,405.50/400,617 = 400,617/x
  3. Step 3: Cross multiply
    259,405.50x = 400,617 × 400,617
  4. Step 4: Simplify right side
    259,405.50x = 160,493,980,689
  5. Step 5: Solve for x
    x = 160,493,980,689/259,405.50
  6. Step 6: Final answer
    x = 618,699.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.