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Finding the Third Proportional to 369,860 and 541,622

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Solution

The third proportional to 369,860 and 541,622 is: 793,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,860 : 541,622 = 541,622 : x
  2. Step 2: Convert to fraction form
    369,860/541,622 = 541,622/x
  3. Step 3: Cross multiply
    369,860x = 541,622 × 541,622
  4. Step 4: Simplify right side
    369,860x = 293,354,390,884
  5. Step 5: Solve for x
    x = 293,354,390,884/369,860
  6. Step 6: Final answer
    x = 793,149.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.