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Finding the Third Proportional to 509,524.50 and 765,570.75

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Solution

The third proportional to 509,524.50 and 765,570.75 is: 1,150,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,524.50 : 765,570.75 = 765,570.75 : x
  2. Step 2: Convert to fraction form
    509,524.50/765,570.75 = 765,570.75/x
  3. Step 3: Cross multiply
    509,524.50x = 765,570.75 × 765,570.75
  4. Step 4: Simplify right side
    509,524.50x = 586,098,573,255.56
  5. Step 5: Solve for x
    x = 586,098,573,255.56/509,524.50
  6. Step 6: Final answer
    x = 1,150,285.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.