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Finding the Third Proportional to 383,764 and 575,690

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Solution

The third proportional to 383,764 and 575,690 is: 863,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,764 : 575,690 = 575,690 : x
  2. Step 2: Convert to fraction form
    383,764/575,690 = 575,690/x
  3. Step 3: Cross multiply
    383,764x = 575,690 × 575,690
  4. Step 4: Simplify right side
    383,764x = 331,418,976,100
  5. Step 5: Solve for x
    x = 331,418,976,100/383,764
  6. Step 6: Final answer
    x = 863,601.01

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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.