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Finding the Third Proportional to 350,770.50 and 513,024.75

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Solution

The third proportional to 350,770.50 and 513,024.75 is: 750,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,770.50 : 513,024.75 = 513,024.75 : x
  2. Step 2: Convert to fraction form
    350,770.50/513,024.75 = 513,024.75/x
  3. Step 3: Cross multiply
    350,770.50x = 513,024.75 × 513,024.75
  4. Step 4: Simplify right side
    350,770.50x = 263,194,394,112.56
  5. Step 5: Solve for x
    x = 263,194,394,112.56/350,770.50
  6. Step 6: Final answer
    x = 750,332.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.