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Finding the Third Proportional to 589,498.50 and 889,851

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Solution

The third proportional to 589,498.50 and 889,851 is: 1,343,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,498.50 : 889,851 = 889,851 : x
  2. Step 2: Convert to fraction form
    589,498.50/889,851 = 889,851/x
  3. Step 3: Cross multiply
    589,498.50x = 889,851 × 889,851
  4. Step 4: Simplify right side
    589,498.50x = 791,834,802,201
  5. Step 5: Solve for x
    x = 791,834,802,201/589,498.50
  6. Step 6: Final answer
    x = 1,343,234.63

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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.