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Finding the Third Proportional to 263,994 and 540,289.50

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Solution

The third proportional to 263,994 and 540,289.50 is: 1,105,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,994 : 540,289.50 = 540,289.50 : x
  2. Step 2: Convert to fraction form
    263,994/540,289.50 = 540,289.50/x
  3. Step 3: Cross multiply
    263,994x = 540,289.50 × 540,289.50
  4. Step 4: Simplify right side
    263,994x = 291,912,743,810.25
  5. Step 5: Solve for x
    x = 291,912,743,810.25/263,994
  6. Step 6: Final answer
    x = 1,105,755.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.