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Finding the Third Proportional to 269,076.75 and 576,790.50

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Solution

The third proportional to 269,076.75 and 576,790.50 is: 1,236,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,076.75 : 576,790.50 = 576,790.50 : x
  2. Step 2: Convert to fraction form
    269,076.75/576,790.50 = 576,790.50/x
  3. Step 3: Cross multiply
    269,076.75x = 576,790.50 × 576,790.50
  4. Step 4: Simplify right side
    269,076.75x = 332,687,280,890.25
  5. Step 5: Solve for x
    x = 332,687,280,890.25/269,076.75
  6. Step 6: Final answer
    x = 1,236,402.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.