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Finding the Third Proportional to 589,356 and 888,975

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Solution

The third proportional to 589,356 and 888,975 is: 1,340,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,356 : 888,975 = 888,975 : x
  2. Step 2: Convert to fraction form
    589,356/888,975 = 888,975/x
  3. Step 3: Cross multiply
    589,356x = 888,975 × 888,975
  4. Step 4: Simplify right side
    589,356x = 790,276,550,625
  5. Step 5: Solve for x
    x = 790,276,550,625/589,356
  6. Step 6: Final answer
    x = 1,340,915.42

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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.