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Finding the Third Proportional to 260,374.50 and 394,935.75

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Solution

The third proportional to 260,374.50 and 394,935.75 is: 599,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,374.50 : 394,935.75 = 394,935.75 : x
  2. Step 2: Convert to fraction form
    260,374.50/394,935.75 = 394,935.75/x
  3. Step 3: Cross multiply
    260,374.50x = 394,935.75 × 394,935.75
  4. Step 4: Simplify right side
    260,374.50x = 155,974,246,628.06
  5. Step 5: Solve for x
    x = 155,974,246,628.06/260,374.50
  6. Step 6: Final answer
    x = 599,038.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.