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Finding the Third Proportional to 360,601.50 and 769,450.50

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Solution

The third proportional to 360,601.50 and 769,450.50 is: 1,641,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,601.50 : 769,450.50 = 769,450.50 : x
  2. Step 2: Convert to fraction form
    360,601.50/769,450.50 = 769,450.50/x
  3. Step 3: Cross multiply
    360,601.50x = 769,450.50 × 769,450.50
  4. Step 4: Simplify right side
    360,601.50x = 592,054,071,950.25
  5. Step 5: Solve for x
    x = 592,054,071,950.25/360,601.50
  6. Step 6: Final answer
    x = 1,641,851.38

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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.