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Finding the Third Proportional to 589,214.25 and 941,412.38

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Solution

The third proportional to 589,214.25 and 941,412.38 is: 1,504,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,214.25 : 941,412.38 = 941,412.38 : x
  2. Step 2: Convert to fraction form
    589,214.25/941,412.38 = 941,412.38/x
  3. Step 3: Cross multiply
    589,214.25x = 941,412.38 × 941,412.38
  4. Step 4: Simplify right side
    589,214.25x = 886,257,259,803.14
  5. Step 5: Solve for x
    x = 886,257,259,803.14/589,214.25
  6. Step 6: Final answer
    x = 1,504,134.12

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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.