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Finding the Third Proportional to 282,760.88 and 609,793.31

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Solution

The third proportional to 282,760.88 and 609,793.31 is: 1,315,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,760.88 : 609,793.31 = 609,793.31 : x
  2. Step 2: Convert to fraction form
    282,760.88/609,793.31 = 609,793.31/x
  3. Step 3: Cross multiply
    282,760.88x = 609,793.31 × 609,793.31
  4. Step 4: Simplify right side
    282,760.88x = 371,847,883,969.72
  5. Step 5: Solve for x
    x = 371,847,883,969.72/282,760.88
  6. Step 6: Final answer
    x = 1,315,061.30

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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.