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Finding the Third Proportional to 383,570.44 and 575,355.66

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Solution

The third proportional to 383,570.44 and 575,355.66 is: 863,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,570.44 : 575,355.66 = 575,355.66 : x
  2. Step 2: Convert to fraction form
    383,570.44/575,355.66 = 575,355.66/x
  3. Step 3: Cross multiply
    383,570.44x = 575,355.66 × 575,355.66
  4. Step 4: Simplify right side
    383,570.44x = 331,034,131,178.87
  5. Step 5: Solve for x
    x = 331,034,131,178.87/383,570.44
  6. Step 6: Final answer
    x = 863,033.48

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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.