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Finding the Third Proportional to 269,078 and 570,954

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Solution

The third proportional to 269,078 and 570,954 is: 1,211,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,078 : 570,954 = 570,954 : x
  2. Step 2: Convert to fraction form
    269,078/570,954 = 570,954/x
  3. Step 3: Cross multiply
    269,078x = 570,954 × 570,954
  4. Step 4: Simplify right side
    269,078x = 325,988,470,116
  5. Step 5: Solve for x
    x = 325,988,470,116/269,078
  6. Step 6: Final answer
    x = 1,211,501.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.