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Finding the Third Proportional to 263,262 and 513,401.50

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Solution

The third proportional to 263,262 and 513,401.50 is: 1,001,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,262 : 513,401.50 = 513,401.50 : x
  2. Step 2: Convert to fraction form
    263,262/513,401.50 = 513,401.50/x
  3. Step 3: Cross multiply
    263,262x = 513,401.50 × 513,401.50
  4. Step 4: Simplify right side
    263,262x = 263,581,100,202.25
  5. Step 5: Solve for x
    x = 263,581,100,202.25/263,262
  6. Step 6: Final answer
    x = 1,001,212.10

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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.