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Finding the Third Proportional to 638,615.50 and 960,589.50

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Solution

The third proportional to 638,615.50 and 960,589.50 is: 1,444,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,615.50 : 960,589.50 = 960,589.50 : x
  2. Step 2: Convert to fraction form
    638,615.50/960,589.50 = 960,589.50/x
  3. Step 3: Cross multiply
    638,615.50x = 960,589.50 × 960,589.50
  4. Step 4: Simplify right side
    638,615.50x = 922,732,187,510.25
  5. Step 5: Solve for x
    x = 922,732,187,510.25/638,615.50
  6. Step 6: Final answer
    x = 1,444,894.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.