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Finding the Third Proportional to 383,786 and 575,727

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Solution

The third proportional to 383,786 and 575,727 is: 863,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,786 : 575,727 = 575,727 : x
  2. Step 2: Convert to fraction form
    383,786/575,727 = 575,727/x
  3. Step 3: Cross multiply
    383,786x = 575,727 × 575,727
  4. Step 4: Simplify right side
    383,786x = 331,461,578,529
  5. Step 5: Solve for x
    x = 331,461,578,529/383,786
  6. Step 6: Final answer
    x = 863,662.51

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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.