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Finding the Third Proportional to 288,927 and 449,121.38

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Solution

The third proportional to 288,927 and 449,121.38 is: 698,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,927 : 449,121.38 = 449,121.38 : x
  2. Step 2: Convert to fraction form
    288,927/449,121.38 = 449,121.38/x
  3. Step 3: Cross multiply
    288,927x = 449,121.38 × 449,121.38
  4. Step 4: Simplify right side
    288,927x = 201,710,009,481.89
  5. Step 5: Solve for x
    x = 201,710,009,481.89/288,927
  6. Step 6: Final answer
    x = 698,134.86

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