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Finding the Third Proportional to 383,792 and 575,736

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Solution

The third proportional to 383,792 and 575,736 is: 863,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,792 : 575,736 = 575,736 : x
  2. Step 2: Convert to fraction form
    383,792/575,736 = 575,736/x
  3. Step 3: Cross multiply
    383,792x = 575,736 × 575,736
  4. Step 4: Simplify right side
    383,792x = 331,471,941,696
  5. Step 5: Solve for x
    x = 331,471,941,696/383,792
  6. Step 6: Final answer
    x = 863,676.01

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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.