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Finding the Third Proportional to 263,262.75 and 513,403.50

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Solution

The third proportional to 263,262.75 and 513,403.50 is: 1,001,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,262.75 : 513,403.50 = 513,403.50 : x
  2. Step 2: Convert to fraction form
    263,262.75/513,403.50 = 513,403.50/x
  3. Step 3: Cross multiply
    263,262.75x = 513,403.50 × 513,403.50
  4. Step 4: Simplify right side
    263,262.75x = 263,583,153,812.25
  5. Step 5: Solve for x
    x = 263,583,153,812.25/263,262.75
  6. Step 6: Final answer
    x = 1,001,217.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.