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Finding the Third Proportional to 589,499.25 and 889,851.75

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Solution

The third proportional to 589,499.25 and 889,851.75 is: 1,343,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,499.25 : 889,851.75 = 889,851.75 : x
  2. Step 2: Convert to fraction form
    589,499.25/889,851.75 = 889,851.75/x
  3. Step 3: Cross multiply
    589,499.25x = 889,851.75 × 889,851.75
  4. Step 4: Simplify right side
    589,499.25x = 791,836,136,978.06
  5. Step 5: Solve for x
    x = 791,836,136,978.06/589,499.25
  6. Step 6: Final answer
    x = 1,343,235.19

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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.