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Finding the Third Proportional to 237,291.19 and 511,874.44

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Solution

The third proportional to 237,291.19 and 511,874.44 is: 1,104,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,291.19 : 511,874.44 = 511,874.44 : x
  2. Step 2: Convert to fraction form
    237,291.19/511,874.44 = 511,874.44/x
  3. Step 3: Cross multiply
    237,291.19x = 511,874.44 × 511,874.44
  4. Step 4: Simplify right side
    237,291.19x = 262,015,439,765.94
  5. Step 5: Solve for x
    x = 262,015,439,765.94/237,291.19
  6. Step 6: Final answer
    x = 1,104,193.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.