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Finding the Third Proportional to 435,800 and 941,625

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Solution

The third proportional to 435,800 and 941,625 is: 2,034,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,800 : 941,625 = 941,625 : x
  2. Step 2: Convert to fraction form
    435,800/941,625 = 941,625/x
  3. Step 3: Cross multiply
    435,800x = 941,625 × 941,625
  4. Step 4: Simplify right side
    435,800x = 886,657,640,625
  5. Step 5: Solve for x
    x = 886,657,640,625/435,800
  6. Step 6: Final answer
    x = 2,034,551.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.