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Finding the Third Proportional to 468,767 and 663,736

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Solution

The third proportional to 468,767 and 663,736 is: 939,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,767 : 663,736 = 663,736 : x
  2. Step 2: Convert to fraction form
    468,767/663,736 = 663,736/x
  3. Step 3: Cross multiply
    468,767x = 663,736 × 663,736
  4. Step 4: Simplify right side
    468,767x = 440,545,477,696
  5. Step 5: Solve for x
    x = 440,545,477,696/468,767
  6. Step 6: Final answer
    x = 939,796.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.