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Finding the Third Proportional to 262,532.25 and 396,203.63

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Solution

The third proportional to 262,532.25 and 396,203.63 is: 597,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,532.25 : 396,203.63 = 396,203.63 : x
  2. Step 2: Convert to fraction form
    262,532.25/396,203.63 = 396,203.63/x
  3. Step 3: Cross multiply
    262,532.25x = 396,203.63 × 396,203.63
  4. Step 4: Simplify right side
    262,532.25x = 156,977,312,463.14
  5. Step 5: Solve for x
    x = 156,977,312,463.14/262,532.25
  6. Step 6: Final answer
    x = 597,935.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.