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Finding the Third Proportional to 262,453.50 and 401,974.50

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Solution

The third proportional to 262,453.50 and 401,974.50 is: 615,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,453.50 : 401,974.50 = 401,974.50 : x
  2. Step 2: Convert to fraction form
    262,453.50/401,974.50 = 401,974.50/x
  3. Step 3: Cross multiply
    262,453.50x = 401,974.50 × 401,974.50
  4. Step 4: Simplify right side
    262,453.50x = 161,583,498,650.25
  5. Step 5: Solve for x
    x = 161,583,498,650.25/262,453.50
  6. Step 6: Final answer
    x = 615,665.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.