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Finding the Third Proportional to 649,261.50 and 970,257.50

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Solution

The third proportional to 649,261.50 and 970,257.50 is: 1,449,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,261.50 : 970,257.50 = 970,257.50 : x
  2. Step 2: Convert to fraction form
    649,261.50/970,257.50 = 970,257.50/x
  3. Step 3: Cross multiply
    649,261.50x = 970,257.50 × 970,257.50
  4. Step 4: Simplify right side
    649,261.50x = 941,399,616,306.25
  5. Step 5: Solve for x
    x = 941,399,616,306.25/649,261.50
  6. Step 6: Final answer
    x = 1,449,954.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.