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Finding the Third Proportional to 269,076 and 570,950

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Solution

The third proportional to 269,076 and 570,950 is: 1,211,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,076 : 570,950 = 570,950 : x
  2. Step 2: Convert to fraction form
    269,076/570,950 = 570,950/x
  3. Step 3: Cross multiply
    269,076x = 570,950 × 570,950
  4. Step 4: Simplify right side
    269,076x = 325,983,902,500
  5. Step 5: Solve for x
    x = 325,983,902,500/269,076
  6. Step 6: Final answer
    x = 1,211,493.79

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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.