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Finding the Third Proportional to 360,526.50 and 769,311

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Solution

The third proportional to 360,526.50 and 769,311 is: 1,641,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,526.50 : 769,311 = 769,311 : x
  2. Step 2: Convert to fraction form
    360,526.50/769,311 = 769,311/x
  3. Step 3: Cross multiply
    360,526.50x = 769,311 × 769,311
  4. Step 4: Simplify right side
    360,526.50x = 591,839,414,721
  5. Step 5: Solve for x
    x = 591,839,414,721/360,526.50
  6. Step 6: Final answer
    x = 1,641,597.54

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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.