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Finding the Third Proportional to 355,806 and 541,041

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Solution

The third proportional to 355,806 and 541,041 is: 822,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,806 : 541,041 = 541,041 : x
  2. Step 2: Convert to fraction form
    355,806/541,041 = 541,041/x
  3. Step 3: Cross multiply
    355,806x = 541,041 × 541,041
  4. Step 4: Simplify right side
    355,806x = 292,725,363,681
  5. Step 5: Solve for x
    x = 292,725,363,681/355,806
  6. Step 6: Final answer
    x = 822,710.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.