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Finding the Third Proportional to 260,701.50 and 394,731

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Solution

The third proportional to 260,701.50 and 394,731 is: 597,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,701.50 : 394,731 = 394,731 : x
  2. Step 2: Convert to fraction form
    260,701.50/394,731 = 394,731/x
  3. Step 3: Cross multiply
    260,701.50x = 394,731 × 394,731
  4. Step 4: Simplify right side
    260,701.50x = 155,812,562,361
  5. Step 5: Solve for x
    x = 155,812,562,361/260,701.50
  6. Step 6: Final answer
    x = 597,666.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.