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Finding the Third Proportional to 589,861.50 and 889,625.25

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Solution

The third proportional to 589,861.50 and 889,625.25 is: 1,341,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,861.50 : 889,625.25 = 889,625.25 : x
  2. Step 2: Convert to fraction form
    589,861.50/889,625.25 = 889,625.25/x
  3. Step 3: Cross multiply
    589,861.50x = 889,625.25 × 889,625.25
  4. Step 4: Simplify right side
    589,861.50x = 791,433,085,437.56
  5. Step 5: Solve for x
    x = 791,433,085,437.56/589,861.50
  6. Step 6: Final answer
    x = 1,341,726.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.