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Finding the Third Proportional to 589,218.75 and 941,419.13

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Solution

The third proportional to 589,218.75 and 941,419.13 is: 1,504,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,218.75 : 941,419.13 = 941,419.13 : x
  2. Step 2: Convert to fraction form
    589,218.75/941,419.13 = 941,419.13/x
  3. Step 3: Cross multiply
    589,218.75x = 941,419.13 × 941,419.13
  4. Step 4: Simplify right side
    589,218.75x = 886,269,968,915.77
  5. Step 5: Solve for x
    x = 886,269,968,915.77/589,218.75
  6. Step 6: Final answer
    x = 1,504,144.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.