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Finding the Third Proportional to 260,950 and 404,052

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Solution

The third proportional to 260,950 and 404,052 is: 625,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,950 : 404,052 = 404,052 : x
  2. Step 2: Convert to fraction form
    260,950/404,052 = 404,052/x
  3. Step 3: Cross multiply
    260,950x = 404,052 × 404,052
  4. Step 4: Simplify right side
    260,950x = 163,258,018,704
  5. Step 5: Solve for x
    x = 163,258,018,704/260,950
  6. Step 6: Final answer
    x = 625,629.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.