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Finding the Third Proportional to 262,243.50 and 404,949

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Solution

The third proportional to 262,243.50 and 404,949 is: 625,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,243.50 : 404,949 = 404,949 : x
  2. Step 2: Convert to fraction form
    262,243.50/404,949 = 404,949/x
  3. Step 3: Cross multiply
    262,243.50x = 404,949 × 404,949
  4. Step 4: Simplify right side
    262,243.50x = 163,983,692,601
  5. Step 5: Solve for x
    x = 163,983,692,601/262,243.50
  6. Step 6: Final answer
    x = 625,310.80

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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.