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Finding the Third Proportional to 239,404.50 and 514,089.50

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Solution

The third proportional to 239,404.50 and 514,089.50 is: 1,103,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,404.50 : 514,089.50 = 514,089.50 : x
  2. Step 2: Convert to fraction form
    239,404.50/514,089.50 = 514,089.50/x
  3. Step 3: Cross multiply
    239,404.50x = 514,089.50 × 514,089.50
  4. Step 4: Simplify right side
    239,404.50x = 264,288,014,010.25
  5. Step 5: Solve for x
    x = 264,288,014,010.25/239,404.50
  6. Step 6: Final answer
    x = 1,103,939.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.