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Finding the Third Proportional to 260,742 and 545,662.50

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Solution

The third proportional to 260,742 and 545,662.50 is: 1,141,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,742 : 545,662.50 = 545,662.50 : x
  2. Step 2: Convert to fraction form
    260,742/545,662.50 = 545,662.50/x
  3. Step 3: Cross multiply
    260,742x = 545,662.50 × 545,662.50
  4. Step 4: Simplify right side
    260,742x = 297,747,563,906.25
  5. Step 5: Solve for x
    x = 297,747,563,906.25/260,742
  6. Step 6: Final answer
    x = 1,141,924.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.