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Finding the Third Proportional to 260,025 and 388,336.50

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Solution

The third proportional to 260,025 and 388,336.50 is: 579,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,025 : 388,336.50 = 388,336.50 : x
  2. Step 2: Convert to fraction form
    260,025/388,336.50 = 388,336.50/x
  3. Step 3: Cross multiply
    260,025x = 388,336.50 × 388,336.50
  4. Step 4: Simplify right side
    260,025x = 150,805,237,232.25
  5. Step 5: Solve for x
    x = 150,805,237,232.25/260,025
  6. Step 6: Final answer
    x = 579,964.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.