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Finding the Third Proportional to 360,592 and 769,450

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Solution

The third proportional to 360,592 and 769,450 is: 1,641,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,592 : 769,450 = 769,450 : x
  2. Step 2: Convert to fraction form
    360,592/769,450 = 769,450/x
  3. Step 3: Cross multiply
    360,592x = 769,450 × 769,450
  4. Step 4: Simplify right side
    360,592x = 592,053,302,500
  5. Step 5: Solve for x
    x = 592,053,302,500/360,592
  6. Step 6: Final answer
    x = 1,641,892.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.