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Finding the Third Proportional to 262,826.25 and 399,433.13

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Solution

The third proportional to 262,826.25 and 399,433.13 is: 607,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,826.25 : 399,433.13 = 399,433.13 : x
  2. Step 2: Convert to fraction form
    262,826.25/399,433.13 = 399,433.13/x
  3. Step 3: Cross multiply
    262,826.25x = 399,433.13 × 399,433.13
  4. Step 4: Simplify right side
    262,826.25x = 159,546,821,347.27
  5. Step 5: Solve for x
    x = 159,546,821,347.27/262,826.25
  6. Step 6: Final answer
    x = 607,042.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.